28077600 has 72 divisors (see below), whose sum is σ = 91400400. Its totient is φ = 7486720.

The previous prime is 28077593. The next prime is 28077601. The reversal of 28077600 is 677082.

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

It is not an unprimeable number, because it can be changed into a prime (28077601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3450 + ... + 8249.

It is an arithmetic number, because the mean of its divisors is an integer number (1269450).

Almost surely, 2^28077600 is an apocalyptic number.

28077600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28077600 is an abundant number, since it is smaller than the sum of its proper divisors (63322800).

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

28077600 is a wasteful number, since it uses less digits than its factorization.

28077600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11722 (or 11709 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 28077600 is about 5298.8300595509. The cubic root of 28077600 is about 303.9391614172.

The spelling of 28077600 in words is "twenty-eight million, seventy-seven thousand, six hundred".