28338464 has 144 divisors (see below), whose sum is σ = 74462976. Its totient is φ = 10483200.

The previous prime is 28338463. The next prime is 28338491. The reversal of 28338464 is 46483382.

It is a Smith number, since the sum of its digits (38) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28338463) 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, 534662 + ... + 534714.

It is an arithmetic number, because the mean of its divisors is an integer number (517104).

Almost surely, 2^28338464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28338464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37231488).

28338464 is an abundant number, since it is smaller than the sum of its proper divisors (46124512).

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

28338464 is a wasteful number, since it uses less digits than its factorization.

28338464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 104 counting only the distinct ones).

The product of its digits is 110592, while the sum is 38.

The square root of 28338464 is about 5323.3883946224. The cubic root of 28338464 is about 304.8775428854.

The spelling of 28338464 in words is "twenty-eight million, three hundred thirty-eight thousand, four hundred sixty-four".