428882688 has 360 divisors, whose sum is σ = 1447340048. Its totient is φ = 125411328.

The previous prime is 428882659. The next prime is 428882719. The reversal of 428882688 is 886288824.

It is a super-2 number, since 2×428882688² = 367880720132210688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

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, 9973995 + ... + 9974037.

Almost surely, 2^428882688 is an apocalyptic number.

428882688 is a gapful number since it is divisible by the number (48) 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 428882688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723670024).

428882688 is an abundant number, since it is smaller than the sum of its proper divisors (1018457360).

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

428882688 is a wasteful number, since it uses less digits than its factorization.

428882688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its digits is 3145728, while the sum is 54.

The square root of 428882688 is about 20709.4830452139. The cubic root of 428882688 is about 754.1299205984.

The spelling of 428882688 in words is "four hundred twenty-eight million, eight hundred eighty-two thousand, six hundred eighty-eight".