28766100 has 144 divisors (see below), whose sum is σ = 94993920. Its totient is φ = 6652800.

The previous prime is 28766093. The next prime is 28766117. The reversal of 28766100 is 166782.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75711 + ... + 76089.

It is an arithmetic number, because the mean of its divisors is an integer number (659680).

Almost surely, 2^28766100 is an apocalyptic number.

28766100 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 28766100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47496960).

28766100 is an abundant number, since it is smaller than the sum of its proper divisors (66227820).

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

28766100 is a wasteful number, since it uses less digits than its factorization.

28766100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 28766100 is about 5363.4037699953. The cubic root of 28766100 is about 306.4034577299.

The spelling of 28766100 in words is "twenty-eight million, seven hundred sixty-six thousand, one hundred".