28910400 has 168 divisors, whose sum is σ = 100157280. Its totient is φ = 7280640.

The previous prime is 28910393. The next prime is 28910429. The reversal of 28910400 is 401982.

It is a super-2 number, since 2×28910400² = 1671622456320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91042 + ... + 91358.

Almost surely, 2^28910400 is an apocalyptic number.

28910400 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 28910400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50078640).

28910400 is an abundant number, since it is smaller than the sum of its proper divisors (71246880).

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

28910400 is a wasteful number, since it uses less digits than its factorization.

28910400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 28910400 is about 5376.8392202111. The cubic root of 28910400 is about 306.9149428197.

The spelling of 28910400 in words is "twenty-eight million, nine hundred ten thousand, four hundred".