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5728454784 = 27351331457
BaseRepresentation
bin1010101010111000…
…10100100010000000
3112210020002122200000
411111130110202000
543212441023114
62344232400000
7261646030233
oct52534244200
915706078600
105728454784
11247a621958
12113a546000
13703a51820
143c4b2541a
15237d99e09
hex155714880

5728454784 has 384 divisors, whose sum is σ = 19045178880. Its totient is φ = 1702010880.

The previous prime is 5728454777. The next prime is 5728454789. The reversal of 5728454784 is 4874548275.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5728454784.

It is not an unprimeable number, because it can be changed into a prime (5728454789) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12534684 + ... + 12535140.

It is an arithmetic number, because the mean of its divisors is an integer number (49596820).

Almost surely, 25728454784 is an apocalyptic number.

5728454784 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 5728454784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9522589440).

5728454784 is an abundant number, since it is smaller than the sum of its proper divisors (13316724096).

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

5728454784 is a wasteful number, since it uses less digits than its factorization.

5728454784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 506 counting only the distinct ones).

The product of its digits is 10035200, while the sum is 54.

The square root of 5728454784 is about 75686.5561642225. The cubic root of 5728454784 is about 1789.2835250410.

The spelling of 5728454784 in words is "five billion, seven hundred twenty-eight million, four hundred fifty-four thousand, seven hundred eighty-four".