9628416 has 144 divisors (see below), whose sum is σ = 32704000. Its totient is φ = 2737152.

The previous prime is 9628403. The next prime is 9628433. The reversal of 9628416 is 6148269.

It is a tau number, because it is divible by the number of its divisors (144).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48285 + ... + 48483.

Almost surely, 2^9628416 is an apocalyptic number.

9628416 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 9628416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16352000).

9628416 is an abundant number, since it is smaller than the sum of its proper divisors (23075584).

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

9628416 is a wasteful number, since it uses less digits than its factorization.

9628416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 211 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 9628416 is about 3102.9689009076. The cubic root of 9628416 is about 212.7412052318.

The spelling of 9628416 in words is "nine million, six hundred twenty-eight thousand, four hundred sixteen".