32428480 has 112 divisors (see below), whose sum is σ = 91293696. Its totient is φ = 10736640.

The previous prime is 32428477. The next prime is 32428483. The reversal of 32428480 is 8482423.

It is an interprime number because it is at equal distance from previous prime (32428477) and next prime (32428483).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×32428480² = 2103212630220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32428483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69207 + ... + 69673.

Almost surely, 2^32428480 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 32428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45646848).

32428480 is an abundant number, since it is smaller than the sum of its proper divisors (58865216).

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

32428480 is a wasteful number, since it uses less digits than its factorization.

32428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 512 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 32428480 is about 5694.6009517788. The cubic root of 32428480 is about 318.8909523991.

The spelling of 32428480 in words is "thirty-two million, four hundred twenty-eight thousand, four hundred eighty".