190728864 has 96 divisors (see below), whose sum is σ = 574318080. Its totient is φ = 61516800.

The previous prime is 190728847. The next prime is 190728877. The reversal of 190728864 is 468827091.

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

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, 23224 + ... + 30344.

It is an arithmetic number, because the mean of its divisors is an integer number (5982480).

Almost surely, 2^190728864 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 190728864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287159040).

190728864 is an abundant number, since it is smaller than the sum of its proper divisors (383589216).

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

190728864 is a wasteful number, since it uses less digits than its factorization.

190728864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7171 (or 7157 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 190728864 is about 13810.4621211602. The cubic root of 190728864 is about 575.6238864051.

The spelling of 190728864 in words is "one hundred ninety million, seven hundred twenty-eight thousand, eight hundred sixty-four".