28293445090944 has 384 divisors, whose sum is σ = 90310210848000. Its totient is φ = 8429924966400.

The previous prime is 28293445090931. The next prime is 28293445091053. The reversal of 28293445090944 is 44909054439282.

28293445090944 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 3 + 4 + 450 + 90 + 94 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×28293445090944² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2584106782 + ... + 2584117730.

It is an arithmetic number, because the mean of its divisors is an integer number (235182840750).

Almost surely, 2^{28293445090944} is an apocalyptic number.

28293445090944 is a gapful number since it is divisible by the number (24) 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 28293445090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45155105424000).

28293445090944 is an abundant number, since it is smaller than the sum of its proper divisors (62016765757056).

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

28293445090944 is a wasteful number, since it uses less digits than its factorization.

28293445090944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14384 (or 14369 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 28293445090944 in words is "twenty-eight trillion, two hundred ninety-three billion, four hundred forty-five million, ninety thousand, nine hundred forty-four".