428037828516 has 135 divisors (see below), whose sum is σ = 1181586194481. Its totient is φ = 135099182016.

The previous prime is 428037828457. The next prime is 428037828521. The reversal of 428037828516 is 615828730824.

The square root of 428037828516 is 654246.

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

428037828516 is a `hidden beast` number, since 4 + 280 + 3 + 78 + 285 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 372673620900 + 55364207616 = 610470^2 + 235296^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 223751176 + ... + 223753088.

Almost surely, 2^428037828516 is an apocalyptic number.

428037828516 is the 654246-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428037828516

428037828516 is an abundant number, since it is smaller than the sum of its proper divisors (753548365965).

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

428037828516 is an equidigital number, since it uses as much as digits as its factorization.

428037828516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880 (or 1937 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 428037828516 in words is "four hundred twenty-eight billion, thirty-seven million, eight hundred twenty-eight thousand, five hundred sixteen".