28332333120 has 672 divisors, whose sum is σ = 114006953088. Its totient is φ = 5908267008.

The previous prime is 28332333109. The next prime is 28332333149. The reversal of 28332333120 is 2133323382.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×28332333120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65432424 + ... + 65432856.

It is an arithmetic number, because the mean of its divisors is an integer number (169653204).

Almost surely, 2^28332333120 is an apocalyptic number.

28332333120 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 28332333120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57003476544).

28332333120 is an abundant number, since it is smaller than the sum of its proper divisors (85674619968).

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

28332333120 is a wasteful number, since it uses less digits than its factorization.

28332333120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 28332333120 in words is "twenty-eight billion, three hundred thirty-two million, three hundred thirty-three thousand, one hundred twenty".