32028480 has 224 divisors, whose sum is σ = 123626880. Its totient is φ = 7741440.

The previous prime is 32028463. The next prime is 32028497. The reversal of 32028480 is 8482023.

It is an interprime number because it is at equal distance from previous prime (32028463) and next prime (32028497).

It is a super-2 number, since 2×32028480² = 2051647062220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 94872 + ... + 95208.

Almost surely, 2^32028480 is an apocalyptic number.

32028480 is a gapful number since it is divisible by the number (30) 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 32028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61813440).

32028480 is an abundant number, since it is smaller than the sum of its proper divisors (91598400).

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

32028480 is a wasteful number, since it uses less digits than its factorization.

32028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 32028480 is about 5659.3709897832. The cubic root of 32028480 is about 317.5743682614.

The spelling of 32028480 in words is "thirty-two million, twenty-eight thousand, four hundred eighty".