428330952 has 144 divisors (see below), whose sum is σ = 1359408960. Its totient is φ = 121480128.

The previous prime is 428330893. The next prime is 428331037. The reversal of 428330952 is 259033824.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 588813 + ... + 589539.

It is an arithmetic number, because the mean of its divisors is an integer number (9440340).

Almost surely, 2^428330952 is an apocalyptic number.

428330952 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 428330952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679704480).

428330952 is an abundant number, since it is smaller than the sum of its proper divisors (931078008).

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

428330952 is a wasteful number, since it uses less digits than its factorization.

428330952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 428330952 is about 20696.1579043068. The cubic root of 428330952 is about 753.8063984268.

The spelling of 428330952 in words is "four hundred twenty-eight million, three hundred thirty thousand, nine hundred fifty-two".