333628687872 has 240 divisors, whose sum is σ = 982598636448. Its totient is φ = 108946391040.

The previous prime is 333628687853. The next prime is 333628687891. The reversal of 333628687872 is 278786826333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (333628687853) and next prime (333628687891).

It is a super-2 number, since 2×333628687872² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 73923888 + ... + 73928400.

Almost surely, 2^333628687872 is an apocalyptic number.

333628687872 is a gapful number since it is divisible by the number (32) 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 333628687872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491299318224).

333628687872 is an abundant number, since it is smaller than the sum of its proper divisors (648969948576).

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

333628687872 is a wasteful number, since it uses less digits than its factorization.

333628687872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4861 (or 4842 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 333628687872 in words is "three hundred thirty-three billion, six hundred twenty-eight million, six hundred eighty-seven thousand, eight hundred seventy-two".