99629928 has 96 divisors (see below), whose sum is σ = 298209600. Its totient is φ = 29889024.

The previous prime is 99629927. The next prime is 99629941. The reversal of 99629928 is 82992699.

99629928 is a `hidden beast` number, since 9 + 9 + 629 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×99629928² = 19852245106570368, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (99629921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26383 + ... + 29921.

It is an arithmetic number, because the mean of its divisors is an integer number (3106350).

Almost surely, 2^99629928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99629928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149104800).

99629928 is an abundant number, since it is smaller than the sum of its proper divisors (198579672).

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

99629928 is a wasteful number, since it uses less digits than its factorization.

99629928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3584 counting only the distinct ones).

The product of its digits is 1259712, while the sum is 54.

The square root of 99629928 is about 9981.4792490893. The cubic root of 99629928 is about 463.5856015726.

The spelling of 99629928 in words is "ninety-nine million, six hundred twenty-nine thousand, nine hundred twenty-eight".