117828711 has 144 divisors (see below), whose sum is σ = 243996480. Its totient is φ = 53222400.

The previous prime is 117828703. The next prime is 117828727.

117828711 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 117828711 - 2³ = 117828703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117828611) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2873851 + ... + 2873891.

It is an arithmetic number, because the mean of its divisors is an integer number (1694420).

Almost surely, 2^117828711 is an apocalyptic number.

117828711 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

117828711 is an abundant number, since it is smaller than the sum of its proper divisors (126167769).

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

117828711 is a wasteful number, since it uses less digits than its factorization.

117828711 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 104 counting only the distinct ones).

The product of its digits is 6272, while the sum is 36.

The square root of 117828711 is about 10854.8934126504. The cubic root of 117828711 is about 490.2493677268.

It can be divided in two parts, 117 and 828711, that added together give a palindrome (828828).

The spelling of 117828711 in words is "one hundred seventeen million, eight hundred twenty-eight thousand, seven hundred eleven".