1028509253829 has 40 divisors (see below), whose sum is σ = 1623247486080. Its totient is φ = 647187537600.

The previous prime is 1028509253803. The next prime is 1028509253917. The reversal of 1028509253829 is 9283529058201.

It is a happy number.

1028509253829 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 509 + 2 + 53 + 82 + 9 = 666.

It is not a de Polignac number, because 1028509253829 - 2¹⁷ = 1028509122757 is a prime.

It is a super-2 number, since 2×1028509253829² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1028509213829) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 815952 + ... + 1650089.

It is an arithmetic number, because the mean of its divisors is an integer number (40581187152).

Almost surely, 2^{1028509253829} is an apocalyptic number.

1028509253829 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

1028509253829 is a deficient number, since it is larger than the sum of its proper divisors (594738232251).

1028509253829 is a wasteful number, since it uses less digits than its factorization.

1028509253829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466343 (or 2466334 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 1028509253829 in words is "one trillion, twenty-eight billion, five hundred nine million, two hundred fifty-three thousand, eight hundred twenty-nine".