428107680 has 864 divisors, whose sum is σ = 2049570432. Its totient is φ = 82114560.

The previous prime is 428107679. The next prime is 428107681. The reversal of 428107680 is 86701824.

It is an interprime number because it is at equal distance from previous prime (428107679) and next prime (428107681).

It is a tau number, because it is divible by the number of its divisors (864).

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 (428107681) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 32931354 + ... + 32931366.

It is an arithmetic number, because the mean of its divisors is an integer number (2372188).

Almost surely, 2^428107680 is an apocalyptic number.

428107680 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 428107680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024785216).

428107680 is an abundant number, since it is smaller than the sum of its proper divisors (1621462752).

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

428107680 is a wasteful number, since it uses less digits than its factorization.

428107680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 428107680 is about 20690.7631565392. The cubic root of 428107680 is about 753.6753991661.

The spelling of 428107680 in words is "four hundred twenty-eight million, one hundred seven thousand, six hundred eighty".