428016960 has 420 divisors, whose sum is σ = 1776363732. Its totient is φ = 97542144.

The previous prime is 428016943. The next prime is 428016991. The reversal of 428016960 is 69610824.

It can be written as a sum of positive squares in 2 ways, for example, as 134374464 + 293642496 = 11592^2 + 17136^2 .

It is a tau number, because it is divible by the number of its divisors (420).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1269912 + ... + 1270248.

Almost surely, 2^428016960 is an apocalyptic number.

428016960 is a gapful number since it is divisible by the number (40) 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 428016960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888181866).

428016960 is an abundant number, since it is smaller than the sum of its proper divisors (1348346772).

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

428016960 is a wasteful number, since it uses less digits than its factorization.

428016960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 428016960 is about 20688.5707577880. The cubic root of 428016960 is about 753.6221584624.

The spelling of 428016960 in words is "four hundred twenty-eight million, sixteen thousand, nine hundred sixty".