428175840 has 96 divisors (see below), whose sum is σ = 1385264160. Its totient is φ = 111089664.

The previous prime is 428175823. The next prime is 428175857. The reversal of 428175840 is 48571824.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (428175823) and next prime (428175857).

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

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 15 ways as a sum of consecutive naturals, for example, 5706 + ... + 29814.

It is an arithmetic number, because the mean of its divisors is an integer number (14429835).

Almost surely, 2^428175840 is an apocalyptic number.

428175840 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 428175840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (692632080).

428175840 is an abundant number, since it is smaller than the sum of its proper divisors (957088320).

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

428175840 is a wasteful number, since it uses less digits than its factorization.

428175840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24164 (or 24156 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 39.

The square root of 428175840 is about 20692.4102027772. The cubic root of 428175840 is about 753.7153951699.

The spelling of 428175840 in words is "four hundred twenty-eight million, one hundred seventy-five thousand, eight hundred forty".