32288648 has 60 divisors (see below), whose sum is σ = 72391845. Its totient is φ = 13500480.

The previous prime is 32288623. The next prime is 32288653. The reversal of 32288648 is 84688223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 23059204 + 9229444 = 4802^2 + 3038^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4018.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 787508 + ... + 787548.

Almost surely, 2^32288648 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 32288648

32288648 is an abundant number, since it is smaller than the sum of its proper divisors (40103197).

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

32288648 is an frugal number, since it uses more digits than its factorization.

32288648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 50 counting only the distinct ones).

The product of its digits is 147456, while the sum is 41.

The square root of 32288648 is about 5682.3100936151. The cubic root of 32288648 is about 318.4319381193.

It can be divided in two parts, 322886 and 48, that multiplied together give a triangular number (15498528 = T₅₅₆₇).

The spelling of 32288648 in words is "thirty-two million, two hundred eighty-eight thousand, six hundred forty-eight".