28131884023824 has 320 divisors, whose sum is σ = 93425496576000. Its totient is φ = 7938893140992.

The previous prime is 28131884023807. The next prime is 28131884023829. The reversal of 28131884023824 is 42832048813182.

It is a happy number.

28131884023824 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 188 + 402 + 38 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (28131884023829) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82272699 + ... + 82613925.

It is an arithmetic number, because the mean of its divisors is an integer number (291954676800).

Almost surely, 2^{28131884023824} is an apocalyptic number.

28131884023824 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 28131884023824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46712748288000).

28131884023824 is an abundant number, since it is smaller than the sum of its proper divisors (65293612552176).

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

28131884023824 is a wasteful number, since it uses less digits than its factorization.

28131884023824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341587 (or 341575 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 28131884023824 in words is "twenty-eight trillion, one hundred thirty-one billion, eight hundred eighty-four million, twenty-three thousand, eight hundred twenty-four".