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64728 = 23322931
BaseRepresentation
bin1111110011011000
310021210100
433303120
54032403
61215400
7356466
oct176330
9107710
1064728
11446a4
1231560
1323601
1419836
15142a3
hexfcd8

64728 has 48 divisors (see below), whose sum is σ = 187200. Its totient is φ = 20160.

The previous prime is 64717. The next prime is 64747. The reversal of 64728 is 82746.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2073 + ... + 2103.

It is an arithmetic number, because the mean of its divisors is an integer number (3900).

264728 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 64728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93600).

64728 is an abundant number, since it is smaller than the sum of its proper divisors (122472).

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

64728 is a wasteful number, since it uses less digits than its factorization.

64728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 65 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The square root of 64728 is about 254.4169805654. The cubic root of 64728 is about 40.1510952040.

The spelling of 64728 in words is "sixty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 31 36 58 62 72 87 93 116 124 174 186 232 248 261 279 348 372 522 558 696 744 899 1044 1116 1798 2088 2232 2697 3596 5394 7192 8091 10788 16182 21576 32364 64728