428280832 has 88 divisors (see below), whose sum is σ = 987472800. Its totient is φ = 181862400.

The previous prime is 428280829. The next prime is 428280833. The reversal of 428280832 is 238082824.

It is a super-2 number, since 2×428280832² = 366848942117224448, which contains 22 as substring.

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 428280791 and 428280800.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428280833) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1067832 + ... + 1068232.

Almost surely, 2^428280832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 428280832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493736400).

428280832 is an abundant number, since it is smaller than the sum of its proper divisors (559191968).

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

428280832 is a wasteful number, since it uses less digits than its factorization.

428280832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 37.

The square root of 428280832 is about 20694.9470161197. The cubic root of 428280832 is about 753.7769957338.

The spelling of 428280832 in words is "four hundred twenty-eight million, two hundred eighty thousand, eight hundred thirty-two".