28989600 has 144 divisors (see below), whose sum is σ = 96743808. Its totient is φ = 7536640.

The previous prime is 28989599. The next prime is 28989613. The reversal of 28989600 is 698982.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112672 + ... + 112928.

It is an arithmetic number, because the mean of its divisors is an integer number (671832).

Almost surely, 2^28989600 is an apocalyptic number.

28989600 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 28989600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48371904).

28989600 is an abundant number, since it is smaller than the sum of its proper divisors (67754208).

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

28989600 is a wasteful number, since it uses less digits than its factorization.

28989600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 28989600 is about 5384.1991047880. The cubic root of 28989600 is about 307.1949516314.

The spelling of 28989600 in words is "twenty-eight million, nine hundred eighty-nine thousand, six hundred".