428400392 has 64 divisors (see below), whose sum is σ = 965606400. Its totient is φ = 174208320.

The previous prime is 428400367. The next prime is 428400407. The reversal of 428400392 is 293004824.

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 15 ways as a sum of consecutive naturals, for example, 167459 + ... + 169997.

It is an arithmetic number, because the mean of its divisors is an integer number (15087600).

Almost surely, 2^428400392 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 428400392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482803200).

428400392 is an abundant number, since it is smaller than the sum of its proper divisors (537206008).

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

428400392 is a wasteful number, since it uses less digits than its factorization.

428400392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2702 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 428400392 is about 20697.8354423838. The cubic root of 428400392 is about 753.8471313286.

The spelling of 428400392 in words is "four hundred twenty-eight million, four hundred thousand, three hundred ninety-two".