28777200 has 60 divisors (see below), whose sum is σ = 92186808. Its totient is φ = 7673600.

The previous prime is 28777187. The next prime is 28777201. The reversal of 28777200 is 277782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28777201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10791 + ... + 13190.

Almost surely, 2^28777200 is an apocalyptic number.

28777200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28777200 is an abundant number, since it is smaller than the sum of its proper divisors (63409608).

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

28777200 is a wasteful number, since it uses less digits than its factorization.

28777200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24002 (or 23991 counting only the distinct ones).

The product of its (nonzero) digits is 10976, while the sum is 33.

The square root of 28777200 is about 5364.4384608270. The cubic root of 28777200 is about 306.4428633847.

The spelling of 28777200 in words is "twenty-eight million, seven hundred seventy-seven thousand, two hundred".