428990592 has 64 divisors (see below), whose sum is σ = 1142285760. Its totient is φ = 142648320.

The previous prime is 428990581. The next prime is 428990603. The reversal of 428990592 is 295099824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428990581) and next prime (428990603).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192042 + ... + 194262.

It is an arithmetic number, because the mean of its divisors is an integer number (17848215).

Almost surely, 2^428990592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428990592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571142880).

428990592 is an abundant number, since it is smaller than the sum of its proper divisors (713295168).

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

428990592 is a wasteful number, since it uses less digits than its factorization.

428990592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2729 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 48.

The square root of 428990592 is about 20712.0880647027. The cubic root of 428990592 is about 754.1931599673.

The spelling of 428990592 in words is "four hundred twenty-eight million, nine hundred ninety thousand, five hundred ninety-two".