28136996020224 has 1792 divisors, whose sum is σ = 107099209728000. Its totient is φ = 7250892816384.

The previous prime is 28136996020213. The next prime is 28136996020267. The reversal of 28136996020224 is 42202069963182.

28136996020224 is a `hidden beast` number, since 2 + 8 + 1 + 3 + 6 + 9 + 9 + 602 + 0 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46354194129 + ... + 46354194735.

It is an arithmetic number, because the mean of its divisors is an integer number (59765184000).

Almost surely, 2^{28136996020224} is an apocalyptic number.

28136996020224 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 28136996020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53549604864000).

28136996020224 is an abundant number, since it is smaller than the sum of its proper divisors (78962213707776).

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

28136996020224 is an equidigital number, since it uses as much as digits as its factorization.

28136996020224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 28136996020224 in words is "twenty-eight trillion, one hundred thirty-six billion, nine hundred ninety-six million, twenty thousand, two hundred twenty-four".