828659749 has 16 divisors (see below), whose sum is σ = 880750080. Its totient is φ = 777461760.

The previous prime is 828659701. The next prime is 828659809. The reversal of 828659749 is 947956828.

It is not a de Polignac number, because 828659749 - 2¹¹ = 828657701 is a prime.

It is a super-2 number, since 2×828659749² = 1373353959225486002, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (8709120) is a multiple of the sum of its prime divisors (1260).

It is a junction number, because it is equal to n+sod(n) for n = 828659693 and 828659702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828657749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1088529 + ... + 1089289.

It is an arithmetic number, because the mean of its divisors is an integer number (55046880).

Almost surely, 2^828659749 is an apocalyptic number.

It is an amenable number.

828659749 is a deficient number, since it is larger than the sum of its proper divisors (52090331).

828659749 is a wasteful number, since it uses less digits than its factorization.

828659749 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1260.

The product of its digits is 8709120, while the sum is 58.

The square root of 828659749 is about 28786.4507885220. The cubic root of 828659749 is about 939.2735253829.

The spelling of 828659749 in words is "eight hundred twenty-eight million, six hundred fifty-nine thousand, seven hundred forty-nine".