641952528 has 120 divisors (see below), whose sum is σ = 1940590080. Its totient is φ = 182327040.

The previous prime is 641952523. The next prime is 641952529. The reversal of 641952528 is 825259146.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 641952528.

It is not an unprimeable number, because it can be changed into a prime (641952523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448518 + ... + 449946.

It is an arithmetic number, because the mean of its divisors is an integer number (16171584).

Almost surely, 2^641952528 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 641952528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970295040).

641952528 is an abundant number, since it is smaller than the sum of its proper divisors (1298637552).

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

641952528 is a wasteful number, since it uses less digits than its factorization.

641952528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1645 (or 1632 counting only the distinct ones).

The product of its digits is 172800, while the sum is 42.

The square root of 641952528 is about 25336.7821161252. The cubic root of 641952528 is about 862.6493600610.

The spelling of 641952528 in words is "six hundred forty-one million, nine hundred fifty-two thousand, five hundred twenty-eight".