28735793694720 has 864 divisors, whose sum is σ = 120144563884800. Its totient is φ = 6568153546752.

The previous prime is 28735793694703. The next prime is 28735793694743. The reversal of 28735793694720 is 2749639753782.

28735793694720 is a `hidden beast` number, since 2 + 8 + 7 + 3 + 5 + 7 + 93 + 69 + 472 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

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, 121809841 + ... + 122045519.

It is an arithmetic number, because the mean of its divisors is an integer number (139056208200).

Almost surely, 2^{28735793694720} is an apocalyptic number.

28735793694720 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 28735793694720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60072281942400).

28735793694720 is an abundant number, since it is smaller than the sum of its proper divisors (91408770190080).

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

28735793694720 is an equidigital number, since it uses as much as digits as its factorization.

28735793694720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235735 (or 235696 counting only the distinct ones).

The product of its (nonzero) digits is 960180480, while the sum is 72.

The spelling of 28735793694720 in words is "twenty-eight trillion, seven hundred thirty-five billion, seven hundred ninety-three million, six hundred ninety-four thousand, seven hundred twenty".