428646009397824 has 189 divisors, whose sum is σ = 1296733450189203. Its totient is φ = 135358916361984.

The previous prime is 428646009397807. The next prime is 428646009397849. The reversal of 428646009397824 is 428793900646824.

The square root of 428646009397824 is 20703768.

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

428646009397824 is a `hidden beast` number, since 4 + 2 + 8 + 6 + 4 + 600 + 9 + 3 + 9 + 7 + 8 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 9440895507 + ... + 9440940909.

Almost surely, 2^{428646009397824} is an apocalyptic number.

428646009397824 is the 20703768-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428646009397824

428646009397824 is an abundant number, since it is smaller than the sum of its proper divisors (868087440791379).

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

428646009397824 is an frugal number, since it uses more digits than its factorization.

428646009397824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90862 (or 45427 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 428646009397824 in words is "four hundred twenty-eight trillion, six hundred forty-six billion, nine million, three hundred ninety-seven thousand, eight hundred twenty-four".