928416 has 48 divisors (see below), whose sum is σ = 2570400. Its totient is φ = 292608.

The previous prime is 928409. The next prime is 928423. The reversal of 928416 is 614829.

It is an interprime number because it is at equal distance from previous prime (928409) and next prime (928423).

It is a tau number, because it is divible by the number of its divisors (48).

It is a plaindrome in base 13.

It is an unprimeable number.

928416 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1570 + ... + 2078.

It is an arithmetic number, because the mean of its divisors is an integer number (53550).

2⁹²⁸⁴¹⁶ is an apocalyptic number.

928416 is a gapful number since it is divisible by the number (96) 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 928416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285200).

928416 is an abundant number, since it is smaller than the sum of its proper divisors (1641984).

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

928416 is a wasteful number, since it uses less digits than its factorization.

928416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 928416 is about 963.5434603587. The cubic root of 928416 is about 97.5545519836.

The spelling of 928416 in words is "nine hundred twenty-eight thousand, four hundred sixteen".