28242864 has 160 divisors (see below), whose sum is σ = 89994240. Its totient is φ = 8425728.

The previous prime is 28242859. The next prime is 28242871. The reversal of 28242864 is 46824282.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 263899 + ... + 264005.

It is an arithmetic number, because the mean of its divisors is an integer number (562464).

Almost surely, 2^28242864 is an apocalyptic number.

28242864 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 28242864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

28242864 is an abundant number, since it is smaller than the sum of its proper divisors (61751376).

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

28242864 is a wasteful number, since it uses less digits than its factorization.

28242864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 172 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 28242864 is about 5314.4015655575. The cubic root of 28242864 is about 304.5343211575.

The spelling of 28242864 in words is "twenty-eight million, two hundred forty-two thousand, eight hundred sixty-four".