28954400 has 72 divisors (see below), whose sum is σ = 74878020. Its totient is φ = 10895360.

The previous prime is 28954381. The next prime is 28954421. The reversal of 28954400 is 445982.

It can be written as a sum of positive squares in 6 ways, for example, as 10942864 + 18011536 = 3308^2 + 4244^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12536 + ... + 14664.

Almost surely, 2^28954400 is an apocalyptic number.

28954400 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 28954400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37439010).

28954400 is an abundant number, since it is smaller than the sum of its proper divisors (45923620).

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

28954400 is a wasteful number, since it uses less digits than its factorization.

28954400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 28954400 is about 5380.9292877718. The cubic root of 28954400 is about 307.0705663135.

The spelling of 28954400 in words is "twenty-eight million, nine hundred fifty-four thousand, four hundred".