28132464 has 80 divisors (see below), whose sum is σ = 77475200. Its totient is φ = 8771328.

The previous prime is 28132441. The next prime is 28132471. The reversal of 28132464 is 46423182.

It is a super-2 number, since 2×28132464² = 1582871061422592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99267 + ... + 99549.

It is an arithmetic number, because the mean of its divisors is an integer number (968440).

Almost surely, 2^28132464 is an apocalyptic number.

28132464 is a gapful number since it is divisible by the number (24) 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 28132464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38737600).

28132464 is an abundant number, since it is smaller than the sum of its proper divisors (49342736).

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

28132464 is a wasteful number, since it uses less digits than its factorization.

28132464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 28132464 is about 5304.0045248849. The cubic root of 28132464 is about 304.1369996544.

The spelling of 28132464 in words is "twenty-eight million, one hundred thirty-two thousand, four hundred sixty-four".