191528064 has 480 divisors, whose sum is σ = 738668700. Its totient is φ = 48771072.

The previous prime is 191528041. The next prime is 191528081. The reversal of 191528064 is 460825191.

It can be written as a sum of positive squares in 2 ways, for example, as 185177664 + 6350400 = 13608^2 + 2520^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 59 ways as a sum of consecutive naturals, for example, 6604402 + ... + 6604430.

Almost surely, 2^191528064 is an apocalyptic number.

191528064 is a gapful number since it is divisible by the number (14) 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 191528064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369334350).

191528064 is an abundant number, since it is smaller than the sum of its proper divisors (547140636).

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

191528064 is a wasteful number, since it uses less digits than its factorization.

191528064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 191528064 is about 13839.3664594879. The cubic root of 191528064 is about 576.4267670571.

The spelling of 191528064 in words is "one hundred ninety-one million, five hundred twenty-eight thousand, sixty-four".