825728477 has 16 divisors (see below), whose sum is σ = 976998912. Its totient is φ = 683199360.

The previous prime is 825728447. The next prime is 825728507. The reversal of 825728477 is 774827528.

It is an interprime number because it is at equal distance from previous prime (825728447) and next prime (825728507).

It is a cyclic number.

It is not a de Polignac number, because 825728477 - 2²⁸ = 557293021 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 (825728447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6827 + ... + 41207.

It is an arithmetic number, because the mean of its divisors is an integer number (61062432).

Almost surely, 2^825728477 is an apocalyptic number.

It is an amenable number.

825728477 is a deficient number, since it is larger than the sum of its proper divisors (151270435).

825728477 is a wasteful number, since it uses less digits than its factorization.

825728477 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34508.

The product of its digits is 1756160, while the sum is 50.

The square root of 825728477 is about 28735.4915914101. The cubic root of 825728477 is about 938.1646991450.

The spelling of 825728477 in words is "eight hundred twenty-five million, seven hundred twenty-eight thousand, four hundred seventy-seven".