28630013328 has 480 divisors, whose sum is σ = 100076094720. Its totient is φ = 7666513920.

The previous prime is 28630013267. The next prime is 28630013339. The reversal of 28630013328 is 82331003682.

28630013328 is a `hidden beast` number, since 2 + 8 + 630 + 0 + 13 + 3 + 2 + 8 = 666.

It is a super-2 number, since 2×28630013328² (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 28630013292 and 28630013301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 362405193 + ... + 362405271.

It is an arithmetic number, because the mean of its divisors is an integer number (208491864).

Almost surely, 2^28630013328 is an apocalyptic number.

28630013328 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 28630013328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50038047360).

28630013328 is an abundant number, since it is smaller than the sum of its proper divisors (71446081392).

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

28630013328 is a wasteful number, since it uses less digits than its factorization.

28630013328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 28630013328 in words is "twenty-eight billion, six hundred thirty million, thirteen thousand, three hundred twenty-eight".