28767600 has 180 divisors, whose sum is σ = 102242712. Its totient is φ = 7488000.

The previous prime is 28767569. The next prime is 28767601. The reversal of 28767600 is 676782.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28767601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 219535 + ... + 219665.

Almost surely, 2^28767600 is an apocalyptic number.

28767600 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 28767600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51121356).

28767600 is an abundant number, since it is smaller than the sum of its proper divisors (73475112).

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

28767600 is a wasteful number, since it uses less digits than its factorization.

28767600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 28767600 is about 5363.5436047449. The cubic root of 28767600 is about 306.4087834107.

The spelling of 28767600 in words is "twenty-eight million, seven hundred sixty-seven thousand, six hundred".