428964120 has 128 divisors (see below), whose sum is σ = 1539921600. Its totient is φ = 105587712.

The previous prime is 428964119. The next prime is 428964149. The reversal of 428964120 is 21469824.

428964120 is a `hidden beast` number, since 4 + 2 + 8 + 9 + 641 + 2 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1237 + ... + 29316.

Almost surely, 2^428964120 is an apocalyptic number.

428964120 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 428964120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769960800).

428964120 is an abundant number, since it is smaller than the sum of its proper divisors (1110957480).

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

428964120 is a wasteful number, since it uses less digits than its factorization.

428964120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30586 (or 30576 counting only the distinct ones).

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

The square root of 428964120 is about 20711.4490077348. The cubic root of 428964120 is about 754.1776464864.

The spelling of 428964120 in words is "four hundred twenty-eight million, nine hundred sixty-four thousand, one hundred twenty".