10028811297960 has 1280 divisors, whose sum is σ = 43916968972800. Its totient is φ = 1995419639808.

The previous prime is 10028811297959. The next prime is 10028811298013. The reversal of 10028811297960 is 6979211882001.

It is a happy number.

10028811297960 is a `hidden beast` number, since 1 + 0 + 0 + 288 + 11 + 297 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10028811297897 and 10028811297906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 367651842 + ... + 367679118.

It is an arithmetic number, because the mean of its divisors is an integer number (34310132010).

Almost surely, 2^{10028811297960} is an apocalyptic number.

10028811297960 is a gapful number since it is divisible by the number (10) 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 10028811297960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21958484486400).

10028811297960 is an abundant number, since it is smaller than the sum of its proper divisors (33888157674840).

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

10028811297960 is a wasteful number, since it uses less digits than its factorization.

10028811297960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27392 (or 27379 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 10028811297960 in words is "ten trillion, twenty-eight billion, eight hundred eleven million, two hundred ninety-seven thousand, nine hundred sixty".