428959502500 has 45 divisors (see below), whose sum is σ = 938120257767. Its totient is φ = 171570702000.

The previous prime is 428959502497. The next prime is 428959502509. The reversal of 428959502500 is 5205959824.

The square root of 428959502500 is 654950.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 33630424996 + 395329077504 = 183386^2 + 628752^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (428959502509) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 32740951 + ... + 32754049.

Almost surely, 2^428959502500 is an apocalyptic number.

428959502500 is the 654950-th square number.

It is an amenable number.

428959502500 is an abundant number, since it is smaller than the sum of its proper divisors (509160755267).

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

428959502500 is an frugal number, since it uses more digits than its factorization.

428959502500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26222 (or 13106 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 49.

Multiplying 428959502500 by its sum of digits (49), we get a square (21019015622500 = 4584650²).

The spelling of 428959502500 in words is "four hundred twenty-eight billion, nine hundred fifty-nine million, five hundred two thousand, five hundred".