28611864 has 96 divisors (see below), whose sum is σ = 81712800. Its totient is φ = 9031680.

The previous prime is 28611859. The next prime is 28611871. The reversal of 28611864 is 46811682.

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 an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 148152 + ... + 148344.

It is an arithmetic number, because the mean of its divisors is an integer number (851175).

Almost surely, 2^28611864 is an apocalyptic number.

28611864 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 28611864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40856400).

28611864 is an abundant number, since it is smaller than the sum of its proper divisors (53100936).

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

28611864 is a wasteful number, since it uses less digits than its factorization.

28611864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 298 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 28611864 is about 5349.0058889480. The cubic root of 28611864 is about 305.8548587598.

The spelling of 28611864 in words is "twenty-eight million, six hundred eleven thousand, eight hundred sixty-four".