28893312 has 96 divisors (see below), whose sum is σ = 95047680. Its totient is φ = 8252928.

The previous prime is 28893307. The next prime is 28893323. The reversal of 28893312 is 21339882.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6273 + ... + 9855.

It is an arithmetic number, because the mean of its divisors is an integer number (990080).

Almost surely, 2^28893312 is an apocalyptic number.

28893312 is the 2688-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28893312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47523840).

28893312 is an abundant number, since it is smaller than the sum of its proper divisors (66154368).

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

28893312 is a wasteful number, since it uses less digits than its factorization.

28893312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3595 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 28893312 is about 5375.2499476769. The cubic root of 28893312 is about 306.8544617451.

It can be divided in two parts, 288 and 93312, that multiplied together give a 4-th power (26873856 = 72⁴).

The spelling of 28893312 in words is "twenty-eight million, eight hundred ninety-three thousand, three hundred twelve".