32528500 has 48 divisors (see below), whose sum is σ = 72176832. Its totient is φ = 12804000.

The previous prime is 32528491. The next prime is 32528501. The reversal of 32528500 is 582523.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32528501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33015 + ... + 33985.

It is an arithmetic number, because the mean of its divisors is an integer number (1503684).

Almost surely, 2^32528500 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 32528500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36088416).

32528500 is an abundant number, since it is smaller than the sum of its proper divisors (39648332).

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

32528500 is a wasteful number, since it uses less digits than its factorization.

32528500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1057 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 32528500 is about 5703.3761930983. The cubic root of 32528500 is about 319.2184704441.

The spelling of 32528500 in words is "thirty-two million, five hundred twenty-eight thousand, five hundred".