28131308041824 has 576 divisors, whose sum is σ = 93493874073600. Its totient is φ = 7948059365376.

The previous prime is 28131308041801. The next prime is 28131308041841. The reversal of 28131308041824 is 42814080313182.

28131308041824 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 130 + 80 + 418 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 28131308041824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692204097 + ... + 692244735.

It is an arithmetic number, because the mean of its divisors is an integer number (162315753600).

Almost surely, 2^{28131308041824} is an apocalyptic number.

28131308041824 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 28131308041824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46746937036800).

28131308041824 is an abundant number, since it is smaller than the sum of its proper divisors (65362566031776).

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

28131308041824 is a wasteful number, since it uses less digits than its factorization.

28131308041824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40987 (or 40976 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The spelling of 28131308041824 in words is "twenty-eight trillion, one hundred thirty-one billion, three hundred eight million, forty-one thousand, eight hundred twenty-four".