Search a number
-
+
28862064 = 243271119137
BaseRepresentation
bin110111000011…
…0011001110000
32000022100022100
41232012121300
524342041224
62510340400
7500215650
oct156063160
960270270
1028862064
1115323550
1297ba700
135c9705a
143b94360
152801ac9
hex1b86670

28862064 has 240 divisors, whose sum is σ = 106778880. Its totient is φ = 7050240.

The previous prime is 28862027. The next prime is 28862087. The reversal of 28862064 is 46026882.

28862064 = T216 + T217 + ... + T567.

28862064 is a `hidden beast` number, since 28 + 8 + 620 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 210604 + ... + 210740.

It is an arithmetic number, because the mean of its divisors is an integer number (444912).

Almost surely, 228862064 is an apocalyptic number.

28862064 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 28862064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53389440).

28862064 is an abundant number, since it is smaller than the sum of its proper divisors (77916816).

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

28862064 is a wasteful number, since it uses less digits than its factorization.

28862064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 28862064 is about 5372.3425058349. The cubic root of 28862064 is about 306.7438012230.

It can be divided in two parts, 2886 and 2064, that added together give a triangular number (4950 = T99).

The spelling of 28862064 in words is "twenty-eight million, eight hundred sixty-two thousand, sixty-four".