828149407 has 16 divisors (see below), whose sum is σ = 910310400. Its totient is φ = 749992320.

The previous prime is 828149369. The next prime is 828149411. The reversal of 828149407 is 704941828.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-828149407 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828149107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89944 + ... + 98722.

It is an arithmetic number, because the mean of its divisors is an integer number (56894400).

Almost surely, 2^828149407 is an apocalyptic number.

828149407 is a deficient number, since it is larger than the sum of its proper divisors (82160993).

828149407 is a wasteful number, since it uses less digits than its factorization.

828149407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9006.

The product of its (nonzero) digits is 129024, while the sum is 43.

The square root of 828149407 is about 28777.5851488620. The cubic root of 828149407 is about 939.0806640914.

The spelling of 828149407 in words is "eight hundred twenty-eight million, one hundred forty-nine thousand, four hundred seven".