628089499011744 has 3456 divisors, whose sum is σ = 2497181890904064. Its totient is φ = 153327105792000.

The previous prime is 628089499011739. The next prime is 628089499011749. The reversal of 628089499011744 is 447110994980826.

628089499011744 is a `hidden beast` number, since 6 + 2 + 8 + 0 + 89 + 499 + 0 + 1 + 17 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (628089499011739) and next prime (628089499011749).

It is a super-3 number, since 3×628089499011744³ (a number of 45 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (628089499011749) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 995387478309 + ... + 995387478939.

It is an arithmetic number, because the mean of its divisors is an integer number (722564204544).

Almost surely, 2^{628089499011744} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 628089499011744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248590945452032).

628089499011744 is an abundant number, since it is smaller than the sum of its proper divisors (1869092391892320).

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

628089499011744 is a wasteful number, since it uses less digits than its factorization.

628089499011744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 922 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 628089499011744 in words is "six hundred twenty-eight trillion, eighty-nine billion, four hundred ninety-nine million, eleven thousand, seven hundred forty-four".