428988560 has 240 divisors, whose sum is σ = 1352080128. Its totient is φ = 123171840.

The previous prime is 428988559. The next prime is 428988563. The reversal of 428988560 is 65889824.

It is a super-2 number, since 2×428988560² = 368062369221747200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 428988499 and 428988508.

It is not an unprimeable number, because it can be changed into a prime (428988563) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 880637 + ... + 881123.

Almost surely, 2^428988560 is an apocalyptic number.

428988560 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 428988560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676040064).

428988560 is an abundant number, since it is smaller than the sum of its proper divisors (923091568).

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

428988560 is a wasteful number, since it uses less digits than its factorization.

428988560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 50.

The square root of 428988560 is about 20712.0390111645. The cubic root of 428988560 is about 754.1919691696.

The spelling of 428988560 in words is "four hundred twenty-eight million, nine hundred eighty-eight thousand, five hundred sixty".