28813197600 has 324 divisors, whose sum is σ = 111682199538. Its totient is φ = 6984806400.

The previous prime is 28813197599. The next prime is 28813197617. The reversal of 28813197600 is 679131882.

28813197600 is a `hidden beast` number, since 2 + 8 + 8 + 1 + 31 + 9 + 7 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 20968198416 + 7844999184 = 144804^2 + 88572^2 .

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 53 ways as a sum of consecutive naturals, for example, 854664 + ... + 887736.

Almost surely, 2^28813197600 is an apocalyptic number.

28813197600 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 28813197600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55841099769).

28813197600 is an abundant number, since it is smaller than the sum of its proper divisors (82869001938).

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

28813197600 is a wasteful number, since it uses less digits than its factorization.

28813197600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33121 (or 33094 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 28813197600 in words is "twenty-eight billion, eight hundred thirteen million, one hundred ninety-seven thousand, six hundred".