28288242720 has 144 divisors (see below), whose sum is σ = 101614443840. Its totient is φ = 7146496512.

The previous prime is 28288242713. The next prime is 28288242721. The reversal of 28288242720 is 2724288282.

28288242720 is a `hidden beast` number, since 282 + 88 + 24 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (28288242721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 489604 + ... + 544323.

It is an arithmetic number, because the mean of its divisors is an integer number (705655860).

Almost surely, 2^28288242720 is an apocalyptic number.

28288242720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

28288242720 is an abundant number, since it is smaller than the sum of its proper divisors (73326201120).

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

28288242720 is a wasteful number, since it uses less digits than its factorization.

28288242720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1033967 (or 1033956 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The spelling of 28288242720 in words is "twenty-eight billion, two hundred eighty-eight million, two hundred forty-two thousand, seven hundred twenty".