99793128 has 64 divisors (see below), whose sum is σ = 265412160. Its totient is φ = 31159296.

The previous prime is 99793103. The next prime is 99793189. The reversal of 99793128 is 82139799.

99793128 is a nontrivial binomial coefficient, being equal to C(14128, 2).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 112575 + ... + 113457.

It is an arithmetic number, because the mean of its divisors is an integer number (4147065).

Almost surely, 2^99793128 is an apocalyptic number.

99793128 is the 14127-th triangular number and also the 7064-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99793128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132706080).

99793128 is an abundant number, since it is smaller than the sum of its proper divisors (165619032).

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

99793128 is a wasteful number, since it uses less digits than its factorization.

99793128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1186 (or 1182 counting only the distinct ones).

The product of its digits is 244944, while the sum is 48.

The square root of 99793128 is about 9989.6510449565. The cubic root of 99793128 is about 463.8385908060.

The spelling of 99793128 in words is "ninety-nine million, seven hundred ninety-three thousand, one hundred twenty-eight".