428522016 has 96 divisors (see below), whose sum is σ = 1264152960. Its totient is φ = 126111744.

The previous prime is 428521997. The next prime is 428522027. The reversal of 428522016 is 610225824.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×428522016² = 367262236393408512, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21240 + ... + 36168.

It is an arithmetic number, because the mean of its divisors is an integer number (13168260).

Almost surely, 2^428522016 is an apocalyptic number.

428522016 is a gapful number since it is divisible by the number (46) 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 428522016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632076480).

428522016 is an abundant number, since it is smaller than the sum of its proper divisors (835630944).

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

428522016 is a wasteful number, since it uses less digits than its factorization.

428522016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14978 (or 14970 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 428522016 is about 20700.7733188884. The cubic root of 428522016 is about 753.9184643074.

The spelling of 428522016 in words is "four hundred twenty-eight million, five hundred twenty-two thousand, sixteen".