577728032 has 54 divisors (see below), whose sum is σ = 1325283687. Its totient is φ = 247189824.

The previous prime is 577728031. The next prime is 577728077. The reversal of 577728032 is 230827775.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 288864016 + 288864016 = 16996^2 + 16996^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=16996.

It is a super-3 number, since 3×577728032³ (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (577728031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 951473 + ... + 952079.

Almost surely, 2^577728032 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 577728032

577728032 is an abundant number, since it is smaller than the sum of its proper divisors (747555655).

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

577728032 is an frugal number, since it uses more digits than its factorization.

577728032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 164640, while the sum is 41.

The square root of 577728032 is about 24035.9737060931. The cubic root of 577728032 is about 832.8647474777.

The spelling of 577728032 in words is "five hundred seventy-seven million, seven hundred twenty-eight thousand, thirty-two".