Search a number
-
+
28862688 = 253417333
BaseRepresentation
bin110111000011…
…0100011100000
32000022101011110
41232012203200
524342101223
62510343320
7500220531
oct156064340
960271143
1028862688
1115323a68
1297bab40
135c9741a
143b94688
152801d93
hex1b868e0

28862688 has 48 divisors (see below), whose sum is σ = 77623056. Its totient is φ = 9384960.

The previous prime is 28862671. The next prime is 28862689. The reversal of 28862688 is 88626882.

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

It is a Harshad number since it is a multiple of its sum of digits (48).

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 (28862689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 270 + ... + 7602.

It is an arithmetic number, because the mean of its divisors is an integer number (1617147).

Almost surely, 228862688 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 28862688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38811528).

28862688 is an abundant number, since it is smaller than the sum of its proper divisors (48760368).

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

28862688 is a wasteful number, since it uses less digits than its factorization.

28862688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7387 (or 7379 counting only the distinct ones).

The product of its digits is 589824, while the sum is 48.

The square root of 28862688 is about 5372.4005807460. The cubic root of 28862688 is about 306.7460118151.

The spelling of 28862688 in words is "twenty-eight million, eight hundred sixty-two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 7333 14666 21999 29332 43998 58664 87996 117328 175992 234656 300653 351984 601306 703968 901959 1202612 1803918 2405224 3607836 4810448 7215672 9620896 14431344 28862688