428905032192 has 480 divisors, whose sum is σ = 1613151251712. Its totient is φ = 106462052352.

The previous prime is 428905032161. The next prime is 428905032233. The reversal of 428905032192 is 291230509824.

428905032192 is a `hidden beast` number, since 42 + 8 + 90 + 503 + 2 + 19 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7098493 + ... + 7158659.

Almost surely, 2^428905032192 is an apocalyptic number.

428905032192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428905032192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806575625856).

428905032192 is an abundant number, since it is smaller than the sum of its proper divisors (1184246219520).

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

428905032192 is a wasteful number, since it uses less digits than its factorization.

428905032192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60228 (or 60209 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 428905032192 in words is "four hundred twenty-eight billion, nine hundred five million, thirty-two thousand, one hundred ninety-two".