28618824 has 64 divisors (see below), whose sum is σ = 79732800. Its totient is φ = 8499456.

The previous prime is 28618823. The next prime is 28618829. The reversal of 28618824 is 42881682.

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 not an unprimeable number, because it can be changed into a prime (28618823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7467 + ... + 10629.

It is an arithmetic number, because the mean of its divisors is an integer number (1245825).

Almost surely, 2^28618824 is an apocalyptic number.

28618824 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 28618824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39866400).

28618824 is an abundant number, since it is smaller than the sum of its proper divisors (51113976).

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

28618824 is a wasteful number, since it uses less digits than its factorization.

28618824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 3210 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 28618824 is about 5349.6564375668. The cubic root of 28618824 is about 305.8796570652.

It can be divided in two parts, 286 and 18824, that added together give a triangular number (19110 = T₁₉₅).

The spelling of 28618824 in words is "twenty-eight million, six hundred eighteen thousand, eight hundred twenty-four".