28164864 has 216 divisors, whose sum is σ = 95757312. Its totient is φ = 7188480.

The previous prime is 28164863. The next prime is 28164883. The reversal of 28164864 is 46846182.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 (28164863) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 908529 + ... + 908559.

Almost surely, 2^28164864 is an apocalyptic number.

28164864 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 28164864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47878656).

28164864 is an abundant number, since it is smaller than the sum of its proper divisors (67592448).

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

28164864 is a wasteful number, since it uses less digits than its factorization.

28164864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 56 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 28164864 is about 5307.0579420240. The cubic root of 28164864 is about 304.2537124820.

The spelling of 28164864 in words is "twenty-eight million, one hundred sixty-four thousand, eight hundred sixty-four".