Search a number
-
+
5728878144 = 2633111717729
BaseRepresentation
bin1010101010111011…
…11011111001000000
3112210020220011102000
411111131323321000
543213043100034
62344245424000
7261652442433
oct52535737100
915706804360
105728878144
11247a890a40
12113a70b000
13703b6c432
143c4bd581a
15237e30599
hex15577be40

5728878144 has 224 divisors, whose sum is σ = 19454774400. Its totient is φ = 1633812480.

The previous prime is 5728878139. The next prime is 5728878163. The reversal of 5728878144 is 4418788275.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 314272 + ... + 332000.

Almost surely, 25728878144 is an apocalyptic number.

5728878144 is a gapful number since it is divisible by the number (54) 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 5728878144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9727387200).

5728878144 is an abundant number, since it is smaller than the sum of its proper divisors (13725896256).

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

5728878144 is a wasteful number, since it uses less digits than its factorization.

5728878144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17778 (or 17762 counting only the distinct ones).

The product of its digits is 4014080, while the sum is 54.

The square root of 5728878144 is about 75689.3529104325. The cubic root of 5728878144 is about 1789.3276028037.

The spelling of 5728878144 in words is "five billion, seven hundred twenty-eight million, eight hundred seventy-eight thousand, one hundred forty-four".