1008028734048 has 144 divisors (see below), whose sum is σ = 3276402345216. Its totient is φ = 287981049600.

The previous prime is 1008028734023. The next prime is 1008028734073. The reversal of 1008028734048 is 8404378208001.

It is an interprime number because it is at equal distance from previous prime (1008028734023) and next prime (1008028734073).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1008028734048² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1008028733994 and 1008028734012.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 32448123 + ... + 32479173.

It is an arithmetic number, because the mean of its divisors is an integer number (22752794064).

Almost surely, 2^{1008028734048} is an apocalyptic number.

1008028734048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1008028734048 is an abundant number, since it is smaller than the sum of its proper divisors (2268373611168).

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

1008028734048 is a wasteful number, since it uses less digits than its factorization.

1008028734048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47177 (or 47166 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 1008028734048 in words is "one trillion, eight billion, twenty-eight million, seven hundred thirty-four thousand, forty-eight".