32428240 has 40 divisors (see below), whose sum is σ = 81197928. Its totient is φ = 11973120.

The previous prime is 32428213. The next prime is 32428259. The reversal of 32428240 is 4282423.

It can be written as a sum of positive squares in 4 ways, for example, as 1157776 + 31270464 = 1076^2 + 5592^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14551 + ... + 16630.

Almost surely, 2^32428240 is an apocalyptic number.

It is an amenable number.

32428240 is an abundant number, since it is smaller than the sum of its proper divisors (48769688).

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

32428240 is a wasteful number, since it uses less digits than its factorization.

32428240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31207 (or 31201 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 32428240 is about 5694.5798791482. The cubic root of 32428240 is about 318.8901657036.

The spelling of 32428240 in words is "thirty-two million, four hundred twenty-eight thousand, two hundred forty".