428816160 has 192 divisors, whose sum is σ = 1589414400. Its totient is φ = 107606016.

The previous prime is 428816107. The next prime is 428816161. The reversal of 428816160 is 61618824.

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

It is not an unprimeable number, because it can be changed into a prime (428816161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70521 + ... + 76359.

It is an arithmetic number, because the mean of its divisors is an integer number (8278200).

Almost surely, 2^428816160 is an apocalyptic number.

428816160 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 428816160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794707200).

428816160 is an abundant number, since it is smaller than the sum of its proper divisors (1160598240).

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

428816160 is a wasteful number, since it uses less digits than its factorization.

428816160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5880 (or 5866 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 428816160 is about 20707.8767622371. The cubic root of 428816160 is about 754.0909252032.

The spelling of 428816160 in words is "four hundred twenty-eight million, eight hundred sixteen thousand, one hundred sixty".