28817817600 has 816 divisors, whose sum is σ = 114679785024. Its totient is φ = 6291456000.

The previous prime is 28817817599. The next prime is 28817817649. The reversal of 28817817600 is 671871882.

It is a super-2 number, since 2×28817817600² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 28817817600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 702873580 + ... + 702873620.

Almost surely, 2^28817817600 is an apocalyptic number.

28817817600 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 28817817600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57339892512).

28817817600 is an abundant number, since it is smaller than the sum of its proper divisors (85861967424).

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

28817817600 is a wasteful number, since it uses less digits than its factorization.

28817817600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 48.

The spelling of 28817817600 in words is "twenty-eight billion, eight hundred seventeen million, eight hundred seventeen thousand, six hundred".