428377560 has 256 divisors, whose sum is σ = 1518652800. Its totient is φ = 95649792.

The previous prime is 428377519. The next prime is 428377571. The reversal of 428377560 is 65773824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 768802 + ... + 769358.

Almost surely, 2^428377560 is an apocalyptic number.

428377560 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 428377560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759326400).

428377560 is an abundant number, since it is smaller than the sum of its proper divisors (1090275240).

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

428377560 is a wasteful number, since it uses less digits than its factorization.

428377560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The square root of 428377560 is about 20697.2838797751. The cubic root of 428377560 is about 753.8337387611.

The spelling of 428377560 in words is "four hundred twenty-eight million, three hundred seventy-seven thousand, five hundred sixty".