1028361607488 has 224 divisors, whose sum is σ = 3253509083520. Its totient is φ = 317333790720.

The previous prime is 1028361607433. The next prime is 1028361607499. The reversal of 1028361607488 is 8847061638201.

1028361607488 is a `hidden beast` number, since 1 + 0 + 28 + 3 + 6 + 1 + 607 + 4 + 8 + 8 = 666.

1028361607488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1504995 + ... + 2078877.

Almost surely, 2^{1028361607488} is an apocalyptic number.

1028361607488 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 1028361607488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626754541760).

1028361607488 is an abundant number, since it is smaller than the sum of its proper divisors (2225147476032).

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

1028361607488 is a wasteful number, since it uses less digits than its factorization.

1028361607488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 573982 (or 573966 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1028361607488 in words is "one trillion, twenty-eight billion, three hundred sixty-one million, six hundred seven thousand, four hundred eighty-eight".