428100638436 has 27 divisors (see below), whose sum is σ = 1082153204041. Its totient is φ = 142698904224.

The previous prime is 428100638419. The next prime is 428100638473. The reversal of 428100638436 is 634836001824.

The square root of 428100638436 is 654294.

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

428100638436 is a `hidden beast` number, since 4 + 2 + 8 + 1 + 0 + 0 + 638 + 4 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 70660836 + 428029977600 = 8406^2 + 654240^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 428100638391 and 428100638400.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3871240 + ... + 3980288.

Almost surely, 2^428100638436 is an apocalyptic number.

428100638436 is the 654294-th square number.

It is an amenable number.

428100638436 is an abundant number, since it is smaller than the sum of its proper divisors (654052565605).

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

428100638436 is an frugal number, since it uses more digits than its factorization.

428100638436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218108 (or 109054 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 428100638436 in words is "four hundred twenty-eight billion, one hundred million, six hundred thirty-eight thousand, four hundred thirty-six".