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28530624 = 263178741
BaseRepresentation
bin110110011010…
…1011111000000
31222200111122210
41230311133000
524300434444
62455302120
7464335443
oct154653700
958614583
1028530624
1115117531
12967a940
135bac235
143b0965a
1527887b9
hex1b357c0

28530624 has 56 divisors (see below), whose sum is σ = 79936848. Its totient is φ = 8949760.

The previous prime is 28530599. The next prime is 28530637. The reversal of 28530624 is 42603582.

It is a junction number, because it is equal to n+sod(n) for n = 28530591 and 28530600.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1107 + ... + 7634.

Almost surely, 228530624 is an apocalyptic number.

28530624 is a gapful number since it is divisible by the number (24) 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 28530624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39968424).

28530624 is an abundant number, since it is smaller than the sum of its proper divisors (51406224).

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

28530624 is a wasteful number, since it uses less digits than its factorization.

28530624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8773 (or 8763 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 28530624 is about 5341.4065563295. The cubic root of 28530624 is about 305.5651047937.

The spelling of 28530624 in words is "twenty-eight million, five hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 136 192 204 272 408 544 816 1088 1632 3264 8741 17482 26223 34964 52446 69928 104892 139856 148597 209784 279712 297194 419568 445791 559424 594388 839136 891582 1188776 1678272 1783164 2377552 3566328 4755104 7132656 9510208 14265312 28530624