428673991824 has 225 divisors, whose sum is σ = 1344448360233. Its totient is φ = 131805408384.

The previous prime is 428673991807. The next prime is 428673991859. The reversal of 428673991824 is 428199376824.

The square root of 428673991824 is 654732.

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

428673991824 is a `hidden beast` number, since 4 + 2 + 8 + 67 + 399 + 182 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 63413312400 + 365260679424 = 251820^2 + 604368^2 .

It is a super-2 number, since 2×428673991824² (a number of 24 digits) contains 22 as substring.

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, 306413877 + ... + 306415275.

Almost surely, 2^428673991824 is an apocalyptic number.

428673991824 is the 654732-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428673991824

428673991824 is an abundant number, since it is smaller than the sum of its proper divisors (915774368409).

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

428673991824 is an equidigital number, since it uses as much as digits as its factorization.

428673991824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2844 (or 1417 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 63.

The spelling of 428673991824 in words is "four hundred twenty-eight billion, six hundred seventy-three million, nine hundred ninety-one thousand, eight hundred twenty-four".