99828960 has 384 divisors, whose sum is σ = 408167424. Its totient is φ = 19906560.

The previous prime is 99828941. The next prime is 99828961. The reversal of 99828960 is 6982899.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99828961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1367484 + ... + 1367556.

It is an arithmetic number, because the mean of its divisors is an integer number (1062936).

Almost surely, 2^99828960 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 99828960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204083712).

99828960 is an abundant number, since it is smaller than the sum of its proper divisors (308338464).

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

99828960 is a wasteful number, since it uses less digits than its factorization.

99828960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 51.

The square root of 99828960 is about 9991.4443400341. Note that the first 3 decimals coincide. The cubic root of 99828960 is about 463.8940998906.

The spelling of 99828960 in words is "ninety-nine million, eight hundred twenty-eight thousand, nine hundred sixty".