428093952 has 160 divisors (see below), whose sum is σ = 1340539200. Its totient is φ = 119685120.

The previous prime is 428093951. The next prime is 428093971. The reversal of 428093952 is 259390824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428093951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218674 + ... + 220622.

It is an arithmetic number, because the mean of its divisors is an integer number (8378370).

Almost surely, 2^428093952 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 428093952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670269600).

428093952 is an abundant number, since it is smaller than the sum of its proper divisors (912445248).

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

428093952 is a wasteful number, since it uses less digits than its factorization.

428093952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1978 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 428093952 is about 20690.4314116453. The cubic root of 428093952 is about 753.6673431194.

The spelling of 428093952 in words is "four hundred twenty-eight million, ninety-three thousand, nine hundred fifty-two".