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28749448 = 237131723101
BaseRepresentation
bin110110110101…
…0111010001000
32000002121211101
41231222322020
524324440243
62504111144
7466236430
oct155527210
960077741
1028749448
1115256982
1297654b4
135c57a10
143b652c0
1527cd54d
hex1b6ae88

28749448 has 128 divisors (see below), whose sum is σ = 74027520. Its totient is φ = 10137600.

The previous prime is 28749421. The next prime is 28749449. The reversal of 28749448 is 84494782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a junction number, because it is equal to n+sod(n) for n = 28749398 and 28749407.

It is not an unprimeable number, because it can be changed into a prime (28749449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284598 + ... + 284698.

It is an arithmetic number, because the mean of its divisors is an integer number (578340).

Almost surely, 228749448 is an apocalyptic number.

28749448 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28749448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37013760).

28749448 is an abundant number, since it is smaller than the sum of its proper divisors (45278072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

28749448 is a wasteful number, since it uses less digits than its factorization.

28749448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its digits is 516096, while the sum is 46.

The square root of 28749448 is about 5361.8511728693. The cubic root of 28749448 is about 306.3443231327.

The spelling of 28749448 in words is "twenty-eight million, seven hundred forty-nine thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 17 23 26 28 34 46 52 56 68 91 92 101 104 119 136 161 182 184 202 221 238 299 322 364 391 404 442 476 598 644 707 728 782 808 884 952 1196 1288 1313 1414 1547 1564 1717 1768 2093 2323 2392 2626 2737 2828 3094 3128 3434 4186 4646 5083 5252 5474 5656 6188 6868 8372 9191 9292 10166 10504 10948 12019 12376 13736 16261 16744 18382 18584 20332 21896 22321 24038 30199 32522 35581 36764 39491 40664 44642 48076 60398 65044 71162 73528 78982 89284 96152 120796 130088 142324 156247 157964 178568 211393 241592 276437 284648 312494 315928 422786 513383 552874 624988 845572 1026766 1105748 1249976 1691144 2053532 2211496 3593681 4107064 7187362 14374724 28749448