28438464 has 56 divisors (see below), whose sum is σ = 76311760. Its totient is φ = 9345024.

The previous prime is 28438457. The next prime is 28438471. The reversal of 28438464 is 46483482.

It is an interprime number because it is at equal distance from previous prime (28438457) and next prime (28438471).

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13002 + ... + 15030.

It is an arithmetic number, because the mean of its divisors is an integer number (1362710).

Almost surely, 2^28438464 is an apocalyptic number.

28438464 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 28438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38155880).

28438464 is an abundant number, since it is smaller than the sum of its proper divisors (47873296).

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

28438464 is a wasteful number, since it uses less digits than its factorization.

28438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2117 (or 2107 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 28438464 is about 5332.7726371935. The cubic root of 28438464 is about 305.2357364108.

The spelling of 28438464 in words is "twenty-eight million, four hundred thirty-eight thousand, four hundred sixty-four".