28950400 has 96 divisors (see below), whose sum is σ = 73042200. Its totient is φ = 11335680.

The previous prime is 28950379. The next prime is 28950421. The reversal of 28950400 is 405982.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (28950379) and next prime (28950421).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265546 + ... + 265654.

Almost surely, 2^28950400 is an apocalyptic number.

28950400 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 28950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36521100).

28950400 is an abundant number, since it is smaller than the sum of its proper divisors (44091800).

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

28950400 is a wasteful number, since it uses less digits than its factorization.

28950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 28950400 is about 5380.5575919230. The cubic root of 28950400 is about 307.0564252407.

The spelling of 28950400 in words is "twenty-eight million, nine hundred fifty thousand, four hundred".