28830873600 has 864 divisors, whose sum is σ = 112879494000. Its totient is φ = 7007109120.

The previous prime is 28830873587. The next prime is 28830873601. The reversal of 28830873600 is 637803882.

28830873600 is a `hidden beast` number, since 2 + 8 + 8 + 30 + 8 + 7 + 3 + 600 = 666.

It is a super-3 number, since 3×28830873600³ (a number of 32 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28830873601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 323942356 + ... + 323942444.

Almost surely, 2^28830873600 is an apocalyptic number.

28830873600 is a gapful number since it is divisible by the number (20) 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 28830873600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56439747000).

28830873600 is an abundant number, since it is smaller than the sum of its proper divisors (84048620400).

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

28830873600 is a wasteful number, since it uses less digits than its factorization.

28830873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 28830873600 in words is "twenty-eight billion, eight hundred thirty million, eight hundred seventy-three thousand, six hundred".