428802328900 has 81 divisors (see below), whose sum is σ = 1022953988343. Its totient is φ = 155901926400.

The previous prime is 428802328879. The next prime is 428802328939. The reversal of 428802328900 is 9823208824.

It is a happy number.

The square root of 428802328900 is 654830.

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

It can be written as a sum of positive squares in 4 ways, for example, as 235898661636 + 192903667264 = 485694^2 + 439208^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 72028324 + ... + 72034276.

Almost surely, 2^428802328900 is an apocalyptic number.

428802328900 is the 654830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428802328900

428802328900 is an abundant number, since it is smaller than the sum of its proper divisors (594151659443).

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

428802328900 is an equidigital number, since it uses as much as digits as its factorization.

428802328900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11942 (or 5971 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 46.

The spelling of 428802328900 in words is "four hundred twenty-eight billion, eight hundred two million, three hundred twenty-eight thousand, nine hundred".