8901828 has 72 divisors (see below), whose sum is σ = 25316928. Its totient is φ = 2616768.

The previous prime is 8901803. The next prime is 8901853. The reversal of 8901828 is 8281098.

It is an interprime number because it is at equal distance from previous prime (8901803) and next prime (8901853).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 8901792 and 8901801.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10351 + ... + 11177.

It is an arithmetic number, because the mean of its divisors is an integer number (351624).

Almost surely, 2^8901828 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8901828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12658464).

8901828 is an abundant number, since it is smaller than the sum of its proper divisors (16415100).

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

8901828 is a wasteful number, since it uses less digits than its factorization.

8901828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 8901828 is about 2983.5931358012. The cubic root of 8901828 is about 207.2492970661.

The spelling of 8901828 in words is "eight million, nine hundred one thousand, eight hundred twenty-eight".