28762800 has 120 divisors (see below), whose sum is σ = 100559040. Its totient is φ = 6969600.

The previous prime is 28762757. The next prime is 28762813. The reversal of 28762800 is 826782.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12111 + ... + 14289.

It is an arithmetic number, because the mean of its divisors is an integer number (837992).

Almost surely, 2^28762800 is an apocalyptic number.

28762800 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 28762800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50279520).

28762800 is an abundant number, since it is smaller than the sum of its proper divisors (71796240).

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

28762800 is a wasteful number, since it uses less digits than its factorization.

28762800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2211 (or 2200 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 28762800 is about 5363.0961207124. The cubic root of 28762800 is about 306.3917405805.

The spelling of 28762800 in words is "twenty-eight million, seven hundred sixty-two thousand, eight hundred".