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4428696384 = 26357172393
BaseRepresentation
bin1000001111111100…
…01000101101000000
3102102122101002100000
410013332020231000
533032221241014
62011242200000
7214514204160
oct40776105500
912378332300
104428696384
11197297a162
12a371b3000
1355769c808
143002685a0
151adc06509
hex107f88b40

4428696384 has 336 divisors, whose sum is σ = 15936455808. Its totient is φ = 1190412288.

The previous prime is 4428696383. The next prime is 4428696403. The reversal of 4428696384 is 4836968244.

4428696384 is a `hidden beast` number, since 442 + 8 + 69 + 63 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×44286963842 = 39226703323309350912, which contains 22 as substring.

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 a self number, because there is not a number n which added to its sum of digits gives 4428696384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4428696383) 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, 1849492 + ... + 1851884.

It is an arithmetic number, because the mean of its divisors is an integer number (47429928).

Almost surely, 24428696384 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 4428696384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7968227904).

4428696384 is an abundant number, since it is smaller than the sum of its proper divisors (11507759424).

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

4428696384 is a wasteful number, since it uses less digits than its factorization.

4428696384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2444 (or 2422 counting only the distinct ones).

The product of its digits is 7962624, while the sum is 54.

The square root of 4428696384 is about 66548.4514019673. The cubic root of 4428696384 is about 1642.1971819303.

The spelling of 4428696384 in words is "four billion, four hundred twenty-eight million, six hundred ninety-six thousand, three hundred eighty-four".