428932080 has 120 divisors (see below), whose sum is σ = 1458924480. Its totient is φ = 112919040.

The previous prime is 428932079. The next prime is 428932081. The reversal of 428932080 is 80239824.

It is an interprime number because it is at equal distance from previous prime (428932079) and next prime (428932081).

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428932081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53110 + ... + 60650.

It is an arithmetic number, because the mean of its divisors is an integer number (12157704).

Almost surely, 2^428932080 is an apocalyptic number.

428932080 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 428932080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729462240).

428932080 is an abundant number, since it is smaller than the sum of its proper divisors (1029992400).

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

428932080 is a wasteful number, since it uses less digits than its factorization.

428932080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7639 (or 7630 counting only the distinct ones).

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

The square root of 428932080 is about 20710.6755080562. The cubic root of 428932080 is about 754.1588691168.

The spelling of 428932080 in words is "four hundred twenty-eight million, nine hundred thirty-two thousand, eighty".