Search a number
-
+
28907648 = 277211419
BaseRepresentation
bin110111001000…
…1100010000000
32000101122211122
41232101202000
524400021043
62511331412
7500465600
oct156214200
960348748
1028907648
1115354820
129820b68
135cb1a23
143ba6c00
152810368
hex1b91880

28907648 has 96 divisors (see below), whose sum is σ = 73256400. Its totient is φ = 11235840.

The previous prime is 28907647. The next prime is 28907651. The reversal of 28907648 is 84670982.

It is a super-2 number, since 2×289076482 = 1671304225783808, which contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 28907599 and 28907608.

It is not an unprimeable number, because it can be changed into a prime (28907647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 68783 + ... + 69201.

Almost surely, 228907648 is an apocalyptic number.

28907648 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 28907648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36628200).

28907648 is an abundant number, since it is smaller than the sum of its proper divisors (44348752).

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

28907648 is a wasteful number, since it uses less digits than its factorization.

28907648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 28907648 is about 5376.5833016889. The cubic root of 28907648 is about 306.9052040322.

The spelling of 28907648 in words is "twenty-eight million, nine hundred seven thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 128 154 176 196 224 308 352 392 419 448 539 616 704 784 838 896 1078 1232 1408 1568 1676 2156 2464 2933 3136 3352 4312 4609 4928 5866 6272 6704 8624 9218 9856 11732 13408 17248 18436 20531 23464 26816 32263 34496 36872 41062 46928 53632 64526 68992 73744 82124 93856 129052 147488 164248 187712 225841 258104 294976 328496 375424 451682 516208 589952 656992 903364 1032416 1313984 1806728 2064832 2627968 3613456 4129664 7226912 14453824 28907648