28538400 has 288 divisors, whose sum is σ = 107993088. Its totient is φ = 6476800.

The previous prime is 28538381. The next prime is 28538429. The reversal of 28538400 is 483582.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607177 + ... + 607223.

It is an arithmetic number, because the mean of its divisors is an integer number (374976).

Almost surely, 2^28538400 is an apocalyptic number.

28538400 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 28538400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53996544).

28538400 is an abundant number, since it is smaller than the sum of its proper divisors (79454688).

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

28538400 is a wasteful number, since it uses less digits than its factorization.

28538400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 28538400 is about 5342.1344048985. The cubic root of 28538400 is about 305.5928627848.

The spelling of 28538400 in words is "twenty-eight million, five hundred thirty-eight thousand, four hundred".