28996583680 has 144 divisors (see below), whose sum is σ = 70861392000. Its totient is φ = 11365253120.

The previous prime is 28996583669. The next prime is 28996583711. The reversal of 28996583680 is 8638569982.

It is a happy number.

It is a super-2 number, since 2×28996583680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45236160 + ... + 45236800.

It is an arithmetic number, because the mean of its divisors is an integer number (492093000).

Almost surely, 2^28996583680 is an apocalyptic number.

28996583680 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 28996583680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35430696000).

28996583680 is an abundant number, since it is smaller than the sum of its proper divisors (41864808320).

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

28996583680 is an equidigital number, since it uses as much as digits as its factorization.

28996583680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 64.

The spelling of 28996583680 in words is "twenty-eight billion, nine hundred ninety-six million, five hundred eighty-three thousand, six hundred eighty".