28729800 has 144 divisors (see below), whose sum is σ = 105328080. Its totient is φ = 6960000.

The previous prime is 28729781. The next prime is 28729817. The reversal of 28729800 is 892782.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 19075 + ... + 20525.

It is an arithmetic number, because the mean of its divisors is an integer number (731445).

Almost surely, 2^28729800 is an apocalyptic number.

28729800 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 28729800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52664040).

28729800 is an abundant number, since it is smaller than the sum of its proper divisors (76598280).

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

28729800 is a wasteful number, since it uses less digits than its factorization.

28729800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 28729800 is about 5360.0186566839. The cubic root of 28729800 is about 306.2745197638.

The spelling of 28729800 in words is "twenty-eight million, seven hundred twenty-nine thousand, eight hundred".