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28869696 = 26345569
BaseRepresentation
bin110111000100…
…0010001000000
32000022201210000
41232020101000
524342312241
62510440000
7500250132
oct156102100
960281700
1028869696
1115329259
129803000
135c9a67b
143b97052
152803eb6
hex1b88440

28869696 has 70 divisors (see below), whose sum is σ = 85594190. Its totient is φ = 9621504.

The previous prime is 28869691. The next prime is 28869719. The reversal of 28869696 is 69696882.

It can be written as a sum of positive squares in only one way, i.e., 20575296 + 8294400 = 4536^2 + 2880^2 .

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (28869691) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2400 + ... + 7968.

Almost surely, 228869696 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 28869696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42797095).

28869696 is an abundant number, since it is smaller than the sum of its proper divisors (56724494).

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

28869696 is an equidigital number, since it uses as much as digits as its factorization.

28869696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5593 (or 5574 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 28869696 is about 5373.0527635600. The cubic root of 28869696 is about 306.7708362769.

The spelling of 28869696 in words is "twenty-eight million, eight hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 5569 11138 16707 22276 33414 44552 50121 66828 89104 100242 133656 150363 178208 200484 267312 300726 356416 400968 451089 534624 601452 801936 902178 1069248 1202904 1603872 1804356 2405808 3207744 3608712 4811616 7217424 9623232 14434848 28869696