28631131776 has 512 divisors, whose sum is σ = 95760537600. Its totient is φ = 8360755200.

The previous prime is 28631131741. The next prime is 28631131811. The reversal of 28631131776 is 67713113682.

28631131776 is a `hidden beast` number, since 2 + 8 + 631 + 1 + 3 + 1 + 7 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (28631131741) and next prime (28631131811).

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, 84958680 + ... + 84959016.

It is an arithmetic number, because the mean of its divisors is an integer number (187032300).

Almost surely, 2^28631131776 is an apocalyptic number.

28631131776 is a gapful number since it is divisible by the number (26) 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 28631131776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47880268800).

28631131776 is an abundant number, since it is smaller than the sum of its proper divisors (67129405824).

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

28631131776 is a wasteful number, since it uses less digits than its factorization.

28631131776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 447 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The spelling of 28631131776 in words is "twenty-eight billion, six hundred thirty-one million, one hundred thirty-one thousand, seven hundred seventy-six".