28248864 has 96 divisors (see below), whose sum is σ = 85671936. Its totient is φ = 7983360.

The previous prime is 28248863. The next prime is 28248881. The reversal of 28248864 is 46884282.

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 (42).

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

It is not an unprimeable number, because it can be changed into a prime (28248863) by changing a digit.

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, 85179 + ... + 85509.

It is an arithmetic number, because the mean of its divisors is an integer number (892416).

Almost surely, 2^28248864 is an apocalyptic number.

28248864 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 28248864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42835968).

28248864 is an abundant number, since it is smaller than the sum of its proper divisors (57423072).

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

28248864 is a wasteful number, since it uses less digits than its factorization.

28248864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 470 counting only the distinct ones).

The product of its digits is 196608, while the sum is 42.

The square root of 28248864 is about 5314.9660394023. The cubic root of 28248864 is about 304.5558850299. Note that the first 3 decimals are identical.

The spelling of 28248864 in words is "twenty-eight million, two hundred forty-eight thousand, eight hundred sixty-four".