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28719936 = 2632717419
BaseRepresentation
bin110110110001…
…1101101000000
32000001010100100
41231203231000
524323014221
62503322400
7466054410
oct155435500
960033310
1028719936
1115236793
129750400
135c4745b
143b58640
1527c4926
hex1b63b40

28719936 has 168 divisors, whose sum is σ = 99852480. Its totient is φ = 7704576.

The previous prime is 28719931. The next prime is 28719937. The reversal of 28719936 is 63991782.

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

It is a super-3 number, since 3×287199363 (a number of 23 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 28719891 and 28719900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28719931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68335 + ... + 68753.

It is an arithmetic number, because the mean of its divisors is an integer number (594360).

Almost surely, 228719936 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 28719936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49926240).

28719936 is an abundant number, since it is smaller than the sum of its proper divisors (71132544).

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

28719936 is a wasteful number, since it uses less digits than its factorization.

28719936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 448 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 28719936 is about 5359.0984316394. The cubic root of 28719936 is about 306.2394639718.

The spelling of 28719936 in words is "twenty-eight million, seven hundred nineteen thousand, nine hundred thirty-six".