428593032 has 160 divisors (see below), whose sum is σ = 1444449600. Its totient is φ = 115986816.

The previous prime is 428593021. The next prime is 428593043. The reversal of 428593032 is 230395824.

It is an interprime number because it is at equal distance from previous prime (428593021) and next prime (428593043).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 83698 + ... + 88670.

It is an arithmetic number, because the mean of its divisors is an integer number (9027810).

Almost surely, 2^428593032 is an apocalyptic number.

428593032 is a gapful number since it is divisible by the number (42) 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 428593032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722224800).

428593032 is an abundant number, since it is smaller than the sum of its proper divisors (1015856568).

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

428593032 is a wasteful number, since it uses less digits than its factorization.

428593032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5017 (or 5004 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 428593032 is about 20702.4885460661. The cubic root of 428593032 is about 753.9601092438.

The spelling of 428593032 in words is "four hundred twenty-eight million, five hundred ninety-three thousand, thirty-two".