1028487570048 has 448 divisors, whose sum is σ = 3155042651400. Its totient is φ = 333683712000.

The previous prime is 1028487570001. The next prime is 1028487570053. The reversal of 1028487570048 is 8400757848201.

1028487570048 is a `hidden beast` number, since 1 + 0 + 28 + 4 + 8 + 7 + 570 + 0 + 48 = 666.

1028487570048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1011858951744 + 16628618304 = 1005912^2 + 128952^2 .

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 = 1028487569976 and 1028487570003.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 574894338 + ... + 574896126.

Almost surely, 2^{1028487570048} is an apocalyptic number.

1028487570048 is a gapful number since it is divisible by the number (18) 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 1028487570048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577521325700).

1028487570048 is an abundant number, since it is smaller than the sum of its proper divisors (2126555081352).

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

1028487570048 is an equidigital number, since it uses as much as digits as its factorization.

1028487570048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1956 counting only the distinct ones).

The product of its (nonzero) digits is 4014080, while the sum is 54.

The spelling of 1028487570048 in words is "one trillion, twenty-eight billion, four hundred eighty-seven million, five hundred seventy thousand, forty-eight".