28785820295232 has 672 divisors, whose sum is σ = 114884884767744. Its totient is φ = 6901691443200.

The previous prime is 28785820295203. The next prime is 28785820295263. The reversal of 28785820295232 is 23259202858782.

28785820295232 is a `hidden beast` number, since 2 + 8 + 7 + 8 + 5 + 82 + 0 + 29 + 523 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 28785820295232.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14643007 + ... + 16492097.

It is an arithmetic number, because the mean of its divisors is an integer number (170959649952).

Almost surely, 2^{28785820295232} is an apocalyptic number.

28785820295232 is a gapful number since it is divisible by the number (22) 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 28785820295232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57442442383872).

28785820295232 is an abundant number, since it is smaller than the sum of its proper divisors (86099064472512).

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

28785820295232 is a wasteful number, since it uses less digits than its factorization.

28785820295232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1849149 (or 1849127 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 28785820295232 in words is "twenty-eight trillion, seven hundred eighty-five billion, eight hundred twenty million, two hundred ninety-five thousand, two hundred thirty-two".