28985387397120 has 1664 divisors, whose sum is σ = 129934160640000. Its totient is φ = 5954485616640.

The previous prime is 28985387397119. The next prime is 28985387397133. The reversal of 28985387397120 is 2179378358982.

28985387397120 is a `hidden beast` number, since 2 + 8 + 9 + 8 + 538 + 73 + 9 + 7 + 12 + 0 = 666.

It is a super-2 number, since 2×28985387397120² (a number of 28 digits) contains 22 as substring.

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

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 127 ways as a sum of consecutive naturals, for example, 3789431056 + ... + 3789438704.

Almost surely, 2^{28985387397120} is an apocalyptic number.

28985387397120 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 28985387397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64967080320000).

28985387397120 is an abundant number, since it is smaller than the sum of its proper divisors (100948773242880).

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

28985387397120 is a wasteful number, since it uses less digits than its factorization.

28985387397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7794 (or 7766 counting only the distinct ones).

The product of its (nonzero) digits is 365783040, while the sum is 72.

The spelling of 28985387397120 in words is "twenty-eight trillion, nine hundred eighty-five billion, three hundred eighty-seven million, three hundred ninety-seven thousand, one hundred twenty".