28290151869728 has 96 divisors (see below), whose sum is σ = 64183610736000. Its totient is φ = 12023514998784.

The previous prime is 28290151869719. The next prime is 28290151869739. The reversal of 28290151869728 is 82796815109282.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19975076 + ... + 21344412.

It is an arithmetic number, because the mean of its divisors is an integer number (668579278500).

Almost surely, 2^{28290151869728} is an apocalyptic number.

28290151869728 is a gapful number since it is divisible by the number (28) 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 28290151869728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32091805368000).

28290151869728 is an abundant number, since it is smaller than the sum of its proper divisors (35893458866272).

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

28290151869728 is a wasteful number, since it uses less digits than its factorization.

28290151869728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370122 (or 1370114 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 68.

The spelling of 28290151869728 in words is "twenty-eight trillion, two hundred ninety billion, one hundred fifty-one million, eight hundred sixty-nine thousand, seven hundred twenty-eight".