428101344 has 144 divisors (see below), whose sum is σ = 1406386800. Its totient is φ = 122081280.

The previous prime is 428101321. The next prime is 428101367. The reversal of 428101344 is 443101824.

It is an interprime number because it is at equal distance from previous prime (428101321) and next prime (428101367).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49882 + ... + 57830.

It is an arithmetic number, because the mean of its divisors is an integer number (9766575).

Almost surely, 2^428101344 is an apocalyptic number.

428101344 is a gapful number since it is divisible by the number (44) 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 428101344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (703193400).

428101344 is an abundant number, since it is smaller than the sum of its proper divisors (978285456).

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

428101344 is a wasteful number, since it uses less digits than its factorization.

428101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7993 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 428101344 is about 20690.6100441722. The cubic root of 428101344 is about 753.6716810121.

The spelling of 428101344 in words is "four hundred twenty-eight million, one hundred one thousand, three hundred forty-four".