928248096 has 96 divisors (see below), whose sum is σ = 2493505728. Its totient is φ = 302284800.

The previous prime is 928248089. The next prime is 928248103. The reversal of 928248096 is 690842829.

928248096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (928248089) and next prime (928248103).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 772296 + ... + 773496.

It is an arithmetic number, because the mean of its divisors is an integer number (25974018).

Almost surely, 2^928248096 is an apocalyptic number.

928248096 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 928248096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1246752864).

928248096 is an abundant number, since it is smaller than the sum of its proper divisors (1565257632).

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

928248096 is a wasteful number, since it uses less digits than its factorization.

928248096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 928248096 is about 30467.1642264258. The cubic root of 928248096 is about 975.4867071661.

The spelling of 928248096 in words is "nine hundred twenty-eight million, two hundred forty-eight thousand, ninety-six".