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5728474013184 = 293313243127449
BaseRepresentation
bin101001101011100001110…
…1010001001111000000000
3202021122012012111021011000
41103113003222021320000
51222323403321410214
620103342530452000
71130603632464306
oct123270352117000
922248165437130
105728474013184
11190948326a75a
12786272434000
13327267705900
1415b38c58a276
159e026473809
hex535c3a89e00

5728474013184 has 960 divisors, whose sum is σ = 18978499584000. Its totient is φ = 1704256339968.

The previous prime is 5728474013161. The next prime is 5728474013203. The reversal of 5728474013184 is 4813104748275.

5728474013184 is a `hidden beast` number, since 5 + 7 + 284 + 7 + 40 + 1 + 318 + 4 = 666.

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 5728474013184.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12758293792 + ... + 12758294240.

It is an arithmetic number, because the mean of its divisors is an integer number (19769270400).

Almost surely, 25728474013184 is an apocalyptic number.

5728474013184 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 5728474013184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9489249792000).

5728474013184 is an abundant number, since it is smaller than the sum of its proper divisors (13250025570816).

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

5728474013184 is a wasteful number, since it uses less digits than its factorization.

5728474013184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 5728474013184 in words is "five trillion, seven hundred twenty-eight billion, four hundred seventy-four million, thirteen thousand, one hundred eighty-four".