10028531689344 has 384 divisors, whose sum is σ = 34438135380480. Its totient is φ = 2738849034240.

The previous prime is 10028531689303. The next prime is 10028531689369. The reversal of 10028531689344 is 44398613582001.

It is a happy number.

10028531689344 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 8 + 531 + 68 + 9 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 283939974 + ... + 283975290.

It is an arithmetic number, because the mean of its divisors is an integer number (89682644220).

Almost surely, 2^{10028531689344} is an apocalyptic number.

10028531689344 is a gapful number since it is divisible by the number (14) 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 10028531689344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17219067690240).

10028531689344 is an abundant number, since it is smaller than the sum of its proper divisors (24409603691136).

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

10028531689344 is a wasteful number, since it uses less digits than its factorization.

10028531689344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36898 (or 36883 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 10028531689344 in words is "ten trillion, twenty-eight billion, five hundred thirty-one million, six hundred eighty-nine thousand, three hundred forty-four".