28960336080 has 320 divisors, whose sum is σ = 108388062720. Its totient is φ = 7064838144.

The previous prime is 28960336079. The next prime is 28960336087. The reversal of 28960336080 is 8063306982.

28960336080 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 0 + 33 + 608 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28960336087) 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, 3168477 + ... + 3177603.

It is an arithmetic number, because the mean of its divisors is an integer number (338712696).

Almost surely, 2^28960336080 is an apocalyptic number.

28960336080 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 28960336080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54194031360).

28960336080 is an abundant number, since it is smaller than the sum of its proper divisors (79427726640).

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

28960336080 is a wasteful number, since it uses less digits than its factorization.

28960336080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9275 (or 9263 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 28960336080 in words is "twenty-eight billion, nine hundred sixty million, three hundred thirty-six thousand, eighty".