428924733088992 has 288 divisors, whose sum is σ = 1311329990638080. Its totient is φ = 122402372843520.

The previous prime is 428924733088987. The next prime is 428924733088993. The reversal of 428924733088992 is 299880337429824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428924733088993) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21213933859 + ... + 21213954077.

It is an arithmetic number, because the mean of its divisors is an integer number (4553229134160).

Almost surely, 2^{428924733088992} is an apocalyptic number.

428924733088992 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 428924733088992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655664995319040).

428924733088992 is an abundant number, since it is smaller than the sum of its proper divisors (882405257549088).

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

428924733088992 is a wasteful number, since it uses less digits than its factorization.

428924733088992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25454 (or 25439 counting only the distinct ones).

The product of its (nonzero) digits is 3009871872, while the sum is 78.

The spelling of 428924733088992 in words is "four hundred twenty-eight trillion, nine hundred twenty-four billion, seven hundred thirty-three million, eighty-eight thousand, nine hundred ninety-two".