428924160 has 432 divisors, whose sum is σ = 1767782016. Its totient is φ = 97542144.

The previous prime is 428924137. The next prime is 428924201. The reversal of 428924160 is 61429824.

It is a tau number, because it is divible by the number of its divisors (432).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2177182 + ... + 2177378.

It is an arithmetic number, because the mean of its divisors is an integer number (4092088).

Almost surely, 2^428924160 is an apocalyptic number.

428924160 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 428924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883891008).

428924160 is an abundant number, since it is smaller than the sum of its proper divisors (1338857856).

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

428924160 is an equidigital number, since it uses as much as digits as its factorization.

428924160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 428924160 is about 20710.4843014353. The cubic root of 428924160 is about 754.1542273757.

The spelling of 428924160 in words is "four hundred twenty-eight million, nine hundred twenty-four thousand, one hundred sixty".