Search a number
-
+
9428747328 = 2634711132379
BaseRepresentation
bin10001100011111111…
…10100010001000000
3220100002211222210000
420301333310101000
5123302224403303
64155334440000
7452440013160
oct106177642100
926302758700
109428747328
113aa9311470
1219b1803000
13b73548640
146563405a0
153a2b6cda3
hex231ff4440

9428747328 has 1120 divisors, whose sum is σ = 39654236160. Its totient is φ = 2134978560.

The previous prime is 9428747311. The next prime is 9428747347. The reversal of 9428747328 is 8237478249.

It is a happy number.

9428747328 is a `hidden beast` number, since 94 + 2 + 87 + 473 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 119351193 + ... + 119351271.

It is an arithmetic number, because the mean of its divisors is an integer number (35405568).

Almost surely, 29428747328 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 9428747328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19827118080).

9428747328 is an abundant number, since it is smaller than the sum of its proper divisors (30225488832).

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

9428747328 is a wasteful number, since it uses less digits than its factorization.

9428747328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The square root of 9428747328 is about 97101.7369978519. The cubic root of 9428747328 is about 2112.6035207046.

The spelling of 9428747328 in words is "nine billion, four hundred twenty-eight million, seven hundred forty-seven thousand, three hundred twenty-eight".