1028247644160 has 960 divisors, whose sum is σ = 4045617576000. Its totient is φ = 247726080000.

The previous prime is 1028247644119. The next prime is 1028247644183. The reversal of 1028247644160 is 614467428201.

1028247644160 is a `hidden beast` number, since 1 + 0 + 2 + 82 + 4 + 76 + 441 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2290083616 + ... + 2290084064.

It is an arithmetic number, because the mean of its divisors is an integer number (4214184975).

Almost surely, 2^{1028247644160} is an apocalyptic number.

1028247644160 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 1028247644160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022808788000).

1028247644160 is an abundant number, since it is smaller than the sum of its proper divisors (3017369931840).

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

1028247644160 is a wasteful number, since it uses less digits than its factorization.

1028247644160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 1028247644160 in words is "one trillion, twenty-eight billion, two hundred forty-seven million, six hundred forty-four thousand, one hundred sixty".