28613692800 has 2304 divisors, whose sum is σ = 145340697600. Its totient is φ = 5352652800.

The previous prime is 28613692781. The next prime is 28613692853. The reversal of 28613692800 is 829631682.

28613692800 is a `hidden beast` number, since 2 + 8 + 6 + 1 + 369 + 280 + 0 = 666.

It is a super-3 number, since 3×28613692800³ (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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1244073589 + ... + 1244073611.

It is an arithmetic number, because the mean of its divisors is an integer number (63081900).

Almost surely, 2^28613692800 is an apocalyptic number.

28613692800 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 28613692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72670348800).

28613692800 is an abundant number, since it is smaller than the sum of its proper divisors (116727004800).

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

28613692800 is a wasteful number, since it uses less digits than its factorization.

28613692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 28613692800 in words is "twenty-eight billion, six hundred thirteen million, six hundred ninety-two thousand, eight hundred".