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BaseRepresentation
bin110100101111…
…011011000000
3222000102100000
4310233123000
512014410403
61212200000
7225342150
oct64573300
928012300
1013825728
117893524
124769000
132b31007
141b9c760
1513317a3
hexd2f6c0

13825728 has 168 divisors, whose sum is σ = 47337472. Its totient is φ = 3919104.

The previous prime is 13825717. The next prime is 13825741. The reversal of 13825728 is 82752831.

13825728 is a `hidden beast` number, since 1 + 3 + 82 + 572 + 8 = 666.

13825728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-4 number, since 4×138257284 (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 13825728 = 123 + 2403 = 883 + 2363.

It is a junction number, because it is equal to n+sod(n) for n = 13825692 and 13825701.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108801 + ... + 108927.

Almost surely, 213825728 is an apocalyptic number.

13825728 is a gapful number since it is divisible by the number (18) 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 13825728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23668736).

13825728 is an abundant number, since it is smaller than the sum of its proper divisors (33511744).

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

13825728 is an equidigital number, since it uses as much as digits as its factorization.

13825728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 139 counting only the distinct ones).

The product of its digits is 26880, while the sum is 36.

The square root of 13825728 is about 3718.2963840985. The cubic root of 13825728 is about 240.0099995834.

The spelling of 13825728 in words is "thirteen million, eight hundred twenty-five thousand, seven hundred twenty-eight".