116728029 has 24 divisors (see below), whose sum is σ = 184571712. Its totient is φ = 70499520.

The previous prime is 116728021. The next prime is 116728057. The reversal of 116728029 is 920827611.

It is not a de Polignac number, because 116728029 - 2³ = 116728021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 116727984 and 116728002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116728021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29104 + ... + 32870.

It is an arithmetic number, because the mean of its divisors is an integer number (7690488).

Almost surely, 2^116728029 is an apocalyptic number.

It is an amenable number.

116728029 is a deficient number, since it is larger than the sum of its proper divisors (67843683).

116728029 is a wasteful number, since it uses less digits than its factorization.

116728029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4097 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 116728029 is about 10804.0746480205. The cubic root of 116728029 is about 488.7180554427.

It can be divided in two parts, 11672 and 8029, that added together give a triangular number (19701 = T₁₉₈).

The spelling of 116728029 in words is "one hundred sixteen million, seven hundred twenty-eight thousand, twenty-nine".