428022729792 has 1120 divisors, whose sum is σ = 1590701359104. Its totient is φ = 111128371200.

The previous prime is 428022729787. The next prime is 428022729809. The reversal of 428022729792 is 297927220824.

428022729792 is a `hidden beast` number, since 4 + 280 + 2 + 272 + 9 + 7 + 92 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1837007308 + ... + 1837007540.

Almost surely, 2^428022729792 is an apocalyptic number.

428022729792 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 428022729792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795350679552).

428022729792 is an abundant number, since it is smaller than the sum of its proper divisors (1162678629312).

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

428022729792 is a wasteful number, since it uses less digits than its factorization.

428022729792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 428022729792 in words is "four hundred twenty-eight billion, twenty-two million, seven hundred twenty-nine thousand, seven hundred ninety-two".