28631285760 has 960 divisors, whose sum is σ = 122302172160. Its totient is φ = 5536481280.

The previous prime is 28631285759. The next prime is 28631285773. The reversal of 28631285760 is 6758213682.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 321699796 + ... + 321699884.

It is an arithmetic number, because the mean of its divisors is an integer number (127398096).

Almost surely, 2^28631285760 is an apocalyptic number.

28631285760 is a gapful number since it is divisible by the number (20) 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 28631285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61151086080).

28631285760 is an abundant number, since it is smaller than the sum of its proper divisors (93670886400).

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

28631285760 is a wasteful number, since it uses less digits than its factorization.

28631285760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 28631285760 in words is "twenty-eight billion, six hundred thirty-one million, two hundred eighty-five thousand, seven hundred sixty".