30328552800 has 864 divisors, whose sum is σ = 134955737280. Its totient is φ = 6237388800.

The previous prime is 30328552777. The next prime is 30328552811. The reversal of 30328552800 is 825582303.

30328552800 is a `hidden beast` number, since 3 + 0 + 3 + 28 + 552 + 80 + 0 = 666.

It is a super-2 number, since 2×30328552800² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26862636 + ... + 26863764.

It is an arithmetic number, because the mean of its divisors is an integer number (156198770).

Almost surely, 2^30328552800 is an apocalyptic number.

30328552800 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 30328552800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67477868640).

30328552800 is an abundant number, since it is smaller than the sum of its proper divisors (104627184480).

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

30328552800 is a wasteful number, since it uses less digits than its factorization.

30328552800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1200 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 30328552800 in words is "thirty billion, three hundred twenty-eight million, five hundred fifty-two thousand, eight hundred".