928640 has 32 divisors (see below), whose sum is σ = 2221560. Its totient is φ = 371200.

The previous prime is 928637. The next prime is 928643. The reversal of 928640 is 46829.

It is an interprime number because it is at equal distance from previous prime (928637) and next prime (928643).

It is a tau number, because it is divible by the number of its divisors (32).

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 86 + ... + 1365.

2⁹²⁸⁶⁴⁰ 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 928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110780).

928640 is an abundant number, since it is smaller than the sum of its proper divisors (1292920).

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

928640 is a wasteful number, since it uses less digits than its factorization.

928640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1470 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 928640 is about 963.6596909698. The cubic root of 928640 is about 97.5623970525.

The spelling of 928640 in words is "nine hundred twenty-eight thousand, six hundred forty".