99949728 has 96 divisors (see below), whose sum is σ = 283832640. Its totient is φ = 30689280.

The previous prime is 99949711. The next prime is 99949771. The reversal of 99949728 is 82794999.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 66748 + ... + 68228.

It is an arithmetic number, because the mean of its divisors is an integer number (2956590).

Almost surely, 2^99949728 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 99949728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141916320).

99949728 is an abundant number, since it is smaller than the sum of its proper divisors (183882912).

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

99949728 is a wasteful number, since it uses less digits than its factorization.

99949728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1550 (or 1542 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 57.

The square root of 99949728 is about 9997.4860840113. The cubic root of 99949728 is about 464.0810896724.

The spelling of 99949728 in words is "ninety-nine million, nine hundred forty-nine thousand, seven hundred twenty-eight".