28693120 has 64 divisors (see below), whose sum is σ = 69400800. Its totient is φ = 11342848.

The previous prime is 28693111. The next prime is 28693123. The reversal of 28693120 is 2139682.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (28693123) 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 7 ways as a sum of consecutive naturals, for example, 68271 + ... + 68689.

Almost surely, 2^28693120 is an apocalyptic number.

28693120 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 28693120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34700400).

28693120 is an abundant number, since it is smaller than the sum of its proper divisors (40707680).

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

28693120 is a wasteful number, since it uses less digits than its factorization.

28693120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 28693120 is about 5356.5959339864. The cubic root of 28693120 is about 306.1441216668.

The spelling of 28693120 in words is "twenty-eight million, six hundred ninety-three thousand, one hundred twenty".