890928 has 60 divisors (see below), whose sum is σ = 2611440. Its totient is φ = 283008.

The previous prime is 890927. The next prime is 890933. The reversal of 890928 is 829098.

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 nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 890892 and 890901.

It is not an unprimeable number, because it can be changed into a prime (890927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3178 + ... + 3446.

It is an arithmetic number, because the mean of its divisors is an integer number (43524).

2⁸⁹⁰⁹²⁸ 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 890928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1305720).

890928 is an abundant number, since it is smaller than the sum of its proper divisors (1720512).

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

890928 is a wasteful number, since it uses less digits than its factorization.

890928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 890928 is about 943.8898240791. The cubic root of 890928 is about 96.2234378831.

The spelling of 890928 in words is "eight hundred ninety thousand, nine hundred twenty-eight".