108028800 has 432 divisors, whose sum is σ = 437367840. Its totient is φ = 25344000.

The previous prime is 108028783. The next prime is 108028849. The reversal of 108028800 is 8820801.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3484785 + ... + 3484815.

Almost surely, 2^108028800 is an apocalyptic number.

108028800 is a gapful number since it is divisible by the number (10) 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 108028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218683920).

108028800 is an abundant number, since it is smaller than the sum of its proper divisors (329339040).

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

108028800 is a wasteful number, since it uses less digits than its factorization.

108028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 108028800 is about 10393.6903936956. The cubic root of 108028800 is about 476.2626425230.

The spelling of 108028800 in words is "one hundred eight million, twenty-eight thousand, eight hundred".