28701993600 has 576 divisors, whose sum is σ = 121404104640. Its totient is φ = 6559211520.

The previous prime is 28701993563. The next prime is 28701993623. The reversal of 28701993600 is 639910782.

28701993600 is a `hidden beast` number, since 28 + 7 + 0 + 19 + 9 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×28701993600² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5440564 + ... + 5445836.

It is an arithmetic number, because the mean of its divisors is an integer number (210771015).

Almost surely, 2^28701993600 is an apocalyptic number.

28701993600 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 28701993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60702052320).

28701993600 is an abundant number, since it is smaller than the sum of its proper divisors (92702111040).

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

28701993600 is an equidigital number, since it uses as much as digits as its factorization.

28701993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5319 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 28701993600 in words is "twenty-eight billion, seven hundred one million, nine hundred ninety-three thousand, six hundred".