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28730592 = 2533113023
BaseRepresentation
bin110110110011…
…0010011100000
32000001122222000
41231212103200
524323334332
62503444000
7466130442
oct155462340
960048860
1028730592
11152437a0
129756600
135c4c267
143b5c492
1527c7b7c
hex1b664e0

28730592 has 96 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 8703360.

The previous prime is 28730591. The next prime is 28730593. The reversal of 28730592 is 29503782.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28730591) and next prime (28730593).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28730591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7993 + ... + 11015.

It is an arithmetic number, because the mean of its divisors is an integer number (952560).

Almost surely, 228730592 is an apocalyptic number.

28730592 is a gapful number since it is divisible by the number (22) 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 28730592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

28730592 is an abundant number, since it is smaller than the sum of its proper divisors (62715168).

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

28730592 is a wasteful number, since it uses less digits than its factorization.

28730592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 28730592 is about 5360.0925365146. The cubic root of 28730592 is about 306.2773341145.

The spelling of 28730592 in words is "twenty-eight million, seven hundred thirty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3023 3168 4752 6046 9069 9504 12092 18138 24184 27207 33253 36276 48368 54414 66506 72552 81621 96736 99759 108828 133012 145104 163242 199518 217656 266024 290208 299277 326484 399036 435312 532048 598554 652968 798072 870624 897831 1064096 1197108 1305936 1596144 1795662 2394216 2611872 3192288 3591324 4788432 7182648 9576864 14365296 28730592