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28819320 = 23351371753
BaseRepresentation
bin110110111101…
…1111101111000
32000020011200020
41231323331320
524334204240
62505410440
7466650225
oct155737570
960204606
1028819320
11152a4422
129799a20
135c8076a
143b8294c
1527e40d0
hex1b7bf78

28819320 has 64 divisors (see below), whose sum is σ = 87138720. Its totient is φ = 7624704.

The previous prime is 28819291. The next prime is 28819381. The reversal of 28819320 is 2391882.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15564 + ... + 17316.

Almost surely, 228819320 is an apocalyptic number.

28819320 is a gapful number since it is divisible by the number (20) 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 28819320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43569360).

28819320 is an abundant number, since it is smaller than the sum of its proper divisors (58319400).

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

28819320 is a wasteful number, since it uses less digits than its factorization.

28819320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1904 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 28819320 is about 5368.3628789418. The cubic root of 28819320 is about 306.5922997578.

The spelling of 28819320 in words is "twenty-eight million, eight hundred nineteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 137 274 411 548 685 822 1096 1370 1644 1753 2055 2740 3288 3506 4110 5259 5480 7012 8220 8765 10518 14024 16440 17530 21036 26295 35060 42072 52590 70120 105180 210360 240161 480322 720483 960644 1200805 1440966 1921288 2401610 2881932 3602415 4803220 5763864 7204830 9606440 14409660 28819320