28946400 has 144 divisors (see below), whose sum is σ = 107743104. Its totient is φ = 6612480.

The previous prime is 28946387. The next prime is 28946417. The reversal of 28946400 is 464982.

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, 15939 + ... + 17661.

It is an arithmetic number, because the mean of its divisors is an integer number (748216).

Almost surely, 2^28946400 is an apocalyptic number.

28946400 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 28946400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53871552).

28946400 is an abundant number, since it is smaller than the sum of its proper divisors (78796704).

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

28946400 is a wasteful number, since it uses less digits than its factorization.

28946400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1753 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 28946400 is about 5380.1858703952. The cubic root of 28946400 is about 307.0422828653.

The spelling of 28946400 in words is "twenty-eight million, nine hundred forty-six thousand, four hundred".