5235728291000 has 128 divisors (see below), whose sum is σ = 12656591400960. Its totient is φ = 2025167184000.

The previous prime is 5235728290993. The next prime is 5235728291033. The reversal of 5235728291000 is 1928275325.

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 31 ways as a sum of consecutive naturals, for example, 40452389 + ... + 40581611.

It is an arithmetic number, because the mean of its divisors is an integer number (98879620320).

Almost surely, 2^{5235728291000} is an apocalyptic number.

5235728291000 is a gapful number since it is divisible by the number (50) 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 5235728291000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6328295700480).

5235728291000 is an abundant number, since it is smaller than the sum of its proper divisors (7420863109960).

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

5235728291000 is a wasteful number, since it uses less digits than its factorization.

5235728291000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130582 (or 130568 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 44.

The spelling of 5235728291000 in words is "five trillion, two hundred thirty-five billion, seven hundred twenty-eight million, two hundred ninety-one thousand".