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483628728 = 233112323463
BaseRepresentation
bin11100110100111…
…001011010111000
31020201000212220010
4130310321122320
51442302104403
6115553501520
714661530202
oct3464713270
91221025803
10483628728
11228aa5470
12115b718a0
137927255b
1448333772
152c6d2603
hex1cd396b8

483628728 has 96 divisors (see below), whose sum is σ = 1379226240. Its totient is φ = 140141760.

The previous prime is 483628727. The next prime is 483628729. The reversal of 483628728 is 827826384.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (483628727) and next prime (483628729).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (483628727) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137925 + ... + 141387.

It is an arithmetic number, because the mean of its divisors is an integer number (14366940).

Almost surely, 2483628728 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 483628728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689613120).

483628728 is an abundant number, since it is smaller than the sum of its proper divisors (895597512).

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

483628728 is a wasteful number, since it uses less digits than its factorization.

483628728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3529 (or 3502 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 483628728 is about 21991.5603812008. The cubic root of 483628728 is about 784.9416311558.

The spelling of 483628728 in words is "four hundred eighty-three million, six hundred twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 33 44 46 66 69 88 92 132 138 184 253 264 276 506 529 552 759 1012 1058 1518 1587 2024 2116 3036 3174 3463 4232 5819 6072 6348 6926 10389 11638 12696 13852 17457 20778 23276 27704 34914 38093 41556 46552 69828 76186 79649 83112 114279 139656 152372 159298 228558 238947 304744 318596 457116 477894 637192 876139 914232 955788 1752278 1831927 1911576 2628417 3504556 3663854 5256834 5495781 7009112 7327708 10513668 10991562 14655416 20151197 21027336 21983124 40302394 43966248 60453591 80604788 120907182 161209576 241814364 483628728