28293868076544 has 640 divisors, whose sum is σ = 98922430464000. Its totient is φ = 7813812510720.

The previous prime is 28293868076531. The next prime is 28293868076587. The reversal of 28293868076544 is 44567086839282.

28293868076544 is a `hidden beast` number, since 2 + 8 + 2 + 9 + 3 + 8 + 6 + 8 + 0 + 76 + 544 = 666.

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 63 ways as a sum of consecutive naturals, for example, 2720820657 + ... + 2720831055.

It is an arithmetic number, because the mean of its divisors is an integer number (154566297600).

Almost surely, 2^{28293868076544} is an apocalyptic number.

28293868076544 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 28293868076544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49461215232000).

28293868076544 is an abundant number, since it is smaller than the sum of its proper divisors (70628562387456).

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

28293868076544 is a wasteful number, since it uses less digits than its factorization.

28293868076544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11371 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 28293868076544 in words is "twenty-eight trillion, two hundred ninety-three billion, eight hundred sixty-eight million, seventy-six thousand, five hundred forty-four".