99828720 has 160 divisors (see below), whose sum is σ = 347745600. Its totient is φ = 26320896.

The previous prime is 99828713. The next prime is 99828739. The reversal of 99828720 is 2782899.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243876 + ... + 244284.

It is an arithmetic number, because the mean of its divisors is an integer number (2173410).

Almost surely, 2^99828720 is an apocalyptic number.

99828720 is a gapful number since it is divisible by the number (90) 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 99828720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173872800).

99828720 is an abundant number, since it is smaller than the sum of its proper divisors (247916880).

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

99828720 is a wasteful number, since it uses less digits than its factorization.

99828720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 99828720 is about 9991.4323297513. The cubic root of 99828720 is about 463.8937281392.

The spelling of 99828720 in words is "ninety-nine million, eight hundred twenty-eight thousand, seven hundred twenty".