28383264 has 288 divisors, whose sum is σ = 107533440. Its totient is φ = 7091712.

The previous prime is 28383263. The next prime is 28383269. The reversal of 28383264 is 46238382.

It is a tau number, because it is divible by the number of its divisors (288).

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28383263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1493847 + ... + 1493865.

It is an arithmetic number, because the mean of its divisors is an integer number (373380).

Almost surely, 2^28383264 is an apocalyptic number.

28383264 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 28383264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53766720).

28383264 is an abundant number, since it is smaller than the sum of its proper divisors (79150176).

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

28383264 is a wasteful number, since it uses less digits than its factorization.

28383264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 44 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 28383264 is about 5327.5945791699. The cubic root of 28383264 is about 305.0381176046.

The spelling of 28383264 in words is "twenty-eight million, three hundred eighty-three thousand, two hundred sixty-four".