28671264 has 72 divisors (see below), whose sum is σ = 82348812. Its totient is φ = 9461760.

The previous prime is 28671257. The next prime is 28671277. The reversal of 28671264 is 46217682.

It can be written as a sum of positive squares in 2 ways, for example, as 22014864 + 6656400 = 4692^2 + 2580^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 32104 + ... + 32984.

Almost surely, 2^28671264 is an apocalyptic number.

28671264 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 28671264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41174406).

28671264 is an abundant number, since it is smaller than the sum of its proper divisors (53677548).

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

28671264 is a wasteful number, since it uses less digits than its factorization.

28671264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 999 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 28671264 is about 5354.5554437320. Note that the first 3 decimals coincide. The cubic root of 28671264 is about 306.0663703273.

The spelling of 28671264 in words is "twenty-eight million, six hundred seventy-one thousand, two hundred sixty-four".