Search a number
-
+
28707864 = 23323131397
BaseRepresentation
bin110110110000…
…0110000011000
32000000111210020
41231200300120
524322122424
62503150440
7466004253
oct155406030
960014706
1028707864
1115228709
129745420
135c41b03
143b5409a
1527c1079
hex1b60c18

28707864 has 64 divisors (see below), whose sum is σ = 75651840. Its totient is φ = 9060480.

The previous prime is 28707863. The next prime is 28707869. The reversal of 28707864 is 46870782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28707863) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72114 + ... + 72510.

It is an arithmetic number, because the mean of its divisors is an integer number (1182060).

Almost surely, 228707864 is an apocalyptic number.

28707864 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 28707864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37825920).

28707864 is an abundant number, since it is smaller than the sum of its proper divisors (46943976).

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

28707864 is a wasteful number, since it uses less digits than its factorization.

28707864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 28707864 is about 5357.9720044061. The cubic root of 28707864 is about 306.1965502166.

The spelling of 28707864 in words is "twenty-eight million, seven hundred seven thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 131 138 184 262 276 393 397 524 552 786 794 1048 1191 1572 1588 2382 3013 3144 3176 4764 6026 9039 9131 9528 12052 18078 18262 24104 27393 36156 36524 52007 54786 72312 73048 104014 109572 156021 208028 219144 312042 416056 624084 1196161 1248168 2392322 3588483 4784644 7176966 9569288 14353932 28707864