28968000 has 224 divisors, whose sum is σ = 102705408. Its totient is φ = 7168000.

The previous prime is 28967999. The next prime is 28968001. The reversal of 28968000 is 86982.

It is an interprime number because it is at equal distance from previous prime (28967999) and next prime (28968001).

It is not an unprimeable number, because it can be changed into a prime (28968001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407965 + ... + 408035.

Almost surely, 2^28968000 is an apocalyptic number.

28968000 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 28968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51352704).

28968000 is an abundant number, since it is smaller than the sum of its proper divisors (73737408).

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

28968000 is a wasteful number, since it uses less digits than its factorization.

28968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 28968000 is about 5382.1928616504. The cubic root of 28968000 is about 307.1186362213.

The spelling of 28968000 in words is "twenty-eight million, nine hundred sixty-eight thousand".