Search a number
-
+
28900128 = 253437001
BaseRepresentation
bin110111000111…
…1101100100000
32000101021112010
41232033230200
524344301003
62511232520
7500434635
oct156175440
960337463
1028900128
111534a104
129818740
135cab48a
143ba418c
15280d003
hex1b8fb20

28900128 has 48 divisors (see below), whose sum is σ = 77638176. Its totient is φ = 9408000.

The previous prime is 28900117. The next prime is 28900129. The reversal of 28900128 is 82100982.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 28900095 and 28900104.

It is not an unprimeable number, because it can be changed into a prime (28900129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 628 + ... + 7628.

It is an arithmetic number, because the mean of its divisors is an integer number (1617462).

Almost surely, 228900128 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 28900128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38819088).

28900128 is an abundant number, since it is smaller than the sum of its proper divisors (48738048).

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

28900128 is a wasteful number, since it uses less digits than its factorization.

28900128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057 (or 7049 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 28900128 is about 5375.8839273184. The cubic root of 28900128 is about 306.8785890768.

The spelling of 28900128 in words is "twenty-eight million, nine hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 86 96 129 172 258 344 516 688 1032 1376 2064 4128 7001 14002 21003 28004 42006 56008 84012 112016 168024 224032 301043 336048 602086 672096 903129 1204172 1806258 2408344 3612516 4816688 7225032 9633376 14450064 28900128