825727528 has 32 divisors (see below), whose sum is σ = 1572465960. Its totient is φ = 406425600.

The previous prime is 825727523. The next prime is 825727541.

825727528 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 824723524 + 1004004 = 28718^2 + 1002^2 .

It is a super-3 number, since 3×825727528³ (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (825727523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 408376 + ... + 410392.

Almost surely, 2^825727528 is an apocalyptic number.

It is an amenable number.

825727528 is a deficient number, since it is larger than the sum of its proper divisors (746738432).

825727528 is a wasteful number, since it uses less digits than its factorization.

825727528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2797 (or 2793 counting only the distinct ones).

The product of its digits is 627200, while the sum is 46.

The square root of 825727528 is about 28735.4750787246. The cubic root of 825727528 is about 938.1643397376.

It can be divided in two parts, 825727 and 528, that added together give a triangular number (826255 = T₁₂₈₅).

The spelling of 825727528 in words is "eight hundred twenty-five million, seven hundred twenty-seven thousand, five hundred twenty-eight".