30628685520 has 800 divisors, whose sum is σ = 117535334400. Its totient is φ = 7365676032.

The previous prime is 30628685509. The next prime is 30628685543. The reversal of 30628685520 is 2558682603.

30628685520 is a `hidden beast` number, since 3 + 0 + 62 + 8 + 68 + 5 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 387704841 + ... + 387704919.

It is an arithmetic number, because the mean of its divisors is an integer number (146919168).

Almost surely, 2^30628685520 is an apocalyptic number.

30628685520 is a gapful number since it is divisible by the number (30) 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 30628685520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58767667200).

30628685520 is an abundant number, since it is smaller than the sum of its proper divisors (86906648880).

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

30628685520 is a wasteful number, since it uses less digits than its factorization.

30628685520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 30628685520 in words is "thirty billion, six hundred twenty-eight million, six hundred eighty-five thousand, five hundred twenty".