28295256880 has 160 divisors (see below), whose sum is σ = 75235184640. Its totient is φ = 9796131840.

The previous prime is 28295256859. The next prime is 28295256923. The reversal of 28295256880 is 8865259282.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4510386 + ... + 4516654.

It is an arithmetic number, because the mean of its divisors is an integer number (470219904).

Almost surely, 2^28295256880 is an apocalyptic number.

28295256880 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 28295256880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37617592320).

28295256880 is an abundant number, since it is smaller than the sum of its proper divisors (46939927760).

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

28295256880 is a wasteful number, since it uses less digits than its factorization.

28295256880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6539 (or 6533 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 55.

The spelling of 28295256880 in words is "twenty-eight billion, two hundred ninety-five million, two hundred fifty-six thousand, eight hundred eighty".