9734928 has 60 divisors (see below), whose sum is σ = 29261520. Its totient is φ = 2780736.

The previous prime is 9734887. The next prime is 9734939. The reversal of 9734928 is 8294379.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is a d-powerful number, because it can be written as 9⁷ + 7⁶ + 3⁷ + 4⁷ + 9⁷ + 2 + 8⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 9734928.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 283 + ... + 4421.

It is an arithmetic number, because the mean of its divisors is an integer number (487692).

Almost surely, 2^9734928 is an apocalyptic number.

9734928 is a gapful number since it is divisible by the number (98) 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 9734928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14630760).

9734928 is an abundant number, since it is smaller than the sum of its proper divisors (19526592).

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

9734928 is a wasteful number, since it uses less digits than its factorization.

9734928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4164 (or 4151 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 9734928 is about 3120.0846142372. The cubic root of 9734928 is about 213.5227960968.

The spelling of 9734928 in words is "nine million, seven hundred thirty-four thousand, nine hundred twenty-eight".