32528640 has 144 divisors (see below), whose sum is σ = 106843968. Its totient is φ = 8429568.

The previous prime is 32528623. The next prime is 32528651. The reversal of 32528640 is 4682523.

It is a super-2 number, since 2×32528640² = 2116224840499200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 32528598 and 32528607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165022 + ... + 165218.

It is an arithmetic number, because the mean of its divisors is an integer number (741972).

Almost surely, 2^32528640 is an apocalyptic number.

32528640 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 32528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53421984).

32528640 is an abundant number, since it is smaller than the sum of its proper divisors (74315328).

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

32528640 is a wasteful number, since it uses less digits than its factorization.

32528640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 32528640 is about 5703.3884665171. The cubic root of 32528640 is about 319.2189284069.

The spelling of 32528640 in words is "thirty-two million, five hundred twenty-eight thousand, six hundred forty".