28131015744 has 448 divisors, whose sum is σ = 99289209600. Its totient is φ = 7715782656.

The previous prime is 28131015733. The next prime is 28131015749. The reversal of 28131015744 is 44751013182.

28131015744 is a `hidden beast` number, since 2 + 81 + 3 + 1 + 0 + 1 + 574 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28131015699 and 28131015708.

It is not an unprimeable number, because it can be changed into a prime (28131015749) 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, 7253934 + ... + 7257810.

It is an arithmetic number, because the mean of its divisors is an integer number (221627700).

Almost surely, 2^28131015744 is an apocalyptic number.

28131015744 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 28131015744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49644604800).

28131015744 is an abundant number, since it is smaller than the sum of its proper divisors (71158193856).

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

28131015744 is a wasteful number, since it uses less digits than its factorization.

28131015744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3931 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 28131015744 in words is "twenty-eight billion, one hundred thirty-one million, fifteen thousand, seven hundred forty-four".