892234728 has 288 divisors, whose sum is σ = 3114689760. Its totient is φ = 228130560.

The previous prime is 892234723. The next prime is 892234729. The reversal of 892234728 is 827432298.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (892234723) 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 71 ways as a sum of consecutive naturals, for example, 3220926 + ... + 3221202.

It is an arithmetic number, because the mean of its divisors is an integer number (10814895).

Almost surely, 2^892234728 is an apocalyptic number.

892234728 is a gapful number since it is divisible by the number (88) 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 892234728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557344880).

892234728 is an abundant number, since it is smaller than the sum of its proper divisors (2222455032).

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

892234728 is a wasteful number, since it uses less digits than its factorization.

892234728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 383 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 892234728 is about 29870.2984250241. The cubic root of 892234728 is about 962.7045868134.

The spelling of 892234728 in words is "eight hundred ninety-two million, two hundred thirty-four thousand, seven hundred twenty-eight".