91728400 has 30 divisors (see below), whose sum is σ = 220378442. Its totient is φ = 36691200.

The previous prime is 91728391. The next prime is 91728407. The reversal of 91728400 is 482719.

It can be written as a sum of positive squares in 3 ways, for example, as 5089536 + 86638864 = 2256^2 + 9308^2 .

It is not an unprimeable number, because it can be changed into a prime (91728407) 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 5 ways as a sum of consecutive naturals, for example, 114261 + ... + 115060.

Almost surely, 2^91728400 is an apocalyptic number.

It is an amenable number.

91728400 is an abundant number, since it is smaller than the sum of its proper divisors (128650042).

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

91728400 is a wasteful number, since it uses less digits than its factorization.

91728400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229339 (or 229328 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 91728400 is about 9577.4944531438. The cubic root of 91728400 is about 450.9910667303.

The spelling of 91728400 in words is "ninety-one million, seven hundred twenty-eight thousand, four hundred".