1028137480704 has 320 divisors, whose sum is σ = 3249899136000. Its totient is φ = 320216924160.

The previous prime is 1028137480703. The next prime is 1028137480807. The reversal of 1028137480704 is 4070847318201.

1028137480704 is a `hidden beast` number, since 10 + 28 + 137 + 480 + 7 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1028137480704.

It is not an unprimeable number, because it can be changed into a prime (1028137480703) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12386412 + ... + 12469140.

It is an arithmetic number, because the mean of its divisors is an integer number (10155934800).

Almost surely, 2^{1028137480704} 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 1028137480704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624949568000).

1028137480704 is an abundant number, since it is smaller than the sum of its proper divisors (2221761655296).

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

1028137480704 is an equidigital number, since it uses as much as digits as its factorization.

1028137480704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82816 (or 82794 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 1028137480704 in words is "one trillion, twenty-eight billion, one hundred thirty-seven million, four hundred eighty thousand, seven hundred four".