Search a number
-
+
28814184 = 23337171959
BaseRepresentation
bin110110111101…
…0101101101000
32000012220122000
41231322231220
524334023214
62505331000
7466626240
oct155725550
960186560
1028814184
11152a0583
129796a60
135c7b319
143b80b20
1527e2809
hex1b7ab68

28814184 has 256 divisors, whose sum is σ = 103680000. Its totient is φ = 7216128.

The previous prime is 28814183. The next prime is 28814207. The reversal of 28814184 is 48141882.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 (28814183) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 488347 + ... + 488405.

It is an arithmetic number, because the mean of its divisors is an integer number (405000).

Almost surely, 228814184 is an apocalyptic number.

28814184 is a gapful number since it is divisible by the number (24) 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 28814184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840000).

28814184 is an abundant number, since it is smaller than the sum of its proper divisors (74865816).

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

28814184 is a wasteful number, since it uses less digits than its factorization.

28814184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 107 counting only the distinct ones).

The product of its digits is 16384, while the sum is 36.

The square root of 28814184 is about 5367.8844995026. The cubic root of 28814184 is about 306.5740856847.

The spelling of 28814184 in words is "twenty-eight million, eight hundred fourteen thousand, one hundred eighty-four".