28418400 has 108 divisors (see below), whose sum is σ = 100235772. Its totient is φ = 7576320.

The previous prime is 28418387. The next prime is 28418419. The reversal of 28418400 is 481482.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5227 + ... + 9173.

It is an arithmetic number, because the mean of its divisors is an integer number (928109).

Almost surely, 2^28418400 is an apocalyptic number.

28418400 is a gapful number since it is divisible by the number (20) 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 28418400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50117886).

28418400 is an abundant number, since it is smaller than the sum of its proper divisors (71817372).

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

28418400 is a wasteful number, since it uses less digits than its factorization.

28418400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3973 (or 3957 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 28418400 is about 5330.8911074979. The cubic root of 28418400 is about 305.1639358774.

Adding to 28418400 its reverse (481482), we get a palindrome (28899882).

The spelling of 28418400 in words is "twenty-eight million, four hundred eighteen thousand, four hundred".