289825536 has 432 divisors, whose sum is σ = 1077269760. Its totient is φ = 67092480.

The previous prime is 289825531. The next prime is 289825559. The reversal of 289825536 is 635528982.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (289825531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9993970 + ... + 9993998.

It is an arithmetic number, because the mean of its divisors is an integer number (2493680).

Almost surely, 2^289825536 is an apocalyptic number.

289825536 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 289825536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538634880).

289825536 is an abundant number, since it is smaller than the sum of its proper divisors (787444224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

289825536 is a wasteful number, since it uses less digits than its factorization.

289825536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 65 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 289825536 is about 17024.2631558608. The cubic root of 289825536 is about 661.7778330380. Note that the first 3 decimals are identical.

The spelling of 289825536 in words is "two hundred eighty-nine million, eight hundred twenty-five thousand, five hundred thirty-six".