288993921900 has 36 divisors (see below), whose sum is σ = 836155748232. Its totient is φ = 77065045760.

The previous prime is 288993921899. The next prime is 288993921901. The reversal of 288993921900 is 9129399882.

It is an interprime number because it is at equal distance from previous prime (288993921899) and next prime (288993921901).

It is a super-2 number, since 2×288993921900² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (288993921901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 481656237 + ... + 481656836.

It is an arithmetic number, because the mean of its divisors is an integer number (23226548562).

Almost surely, 2^288993921900 is an apocalyptic number.

288993921900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

288993921900 is an abundant number, since it is smaller than the sum of its proper divisors (547161826332).

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

288993921900 is a wasteful number, since it uses less digits than its factorization.

288993921900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963313090 (or 963313083 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 60.

The spelling of 288993921900 in words is "two hundred eighty-eight billion, nine hundred ninety-three million, nine hundred twenty-one thousand, nine hundred".