Search a number
-
+
79828728 = 23371989281
BaseRepresentation
bin1001100001000…
…01011011111000
312120012201102120
410300201123320
5130414004403
611531001240
71656350550
oct460413370
9176181376
1079828728
1141074561
1222899220
1313700445
14a860160
15701ce53
hex4c216f8

79828728 has 128 divisors (see below), whose sum is σ = 243648000. Its totient is φ = 21288960.

The previous prime is 79828669. The next prime is 79828733. The reversal of 79828728 is 82782897.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 283948 + ... + 284228.

It is an arithmetic number, because the mean of its divisors is an integer number (1903500).

Almost surely, 279828728 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 79828728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121824000).

79828728 is an abundant number, since it is smaller than the sum of its proper divisors (163819272).

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

79828728 is a wasteful number, since it uses less digits than its factorization.

79828728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 401 counting only the distinct ones).

The product of its digits is 903168, while the sum is 51.

The square root of 79828728 is about 8934.6923841842. The cubic root of 79828728 is about 430.5792230243.

It can be divided in two parts, 798 and 28728, that multiplied together give a square (22924944 = 47882).

The spelling of 79828728 in words is "seventy-nine million, eight hundred twenty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 89 114 133 152 168 178 228 266 267 281 356 399 456 532 534 562 623 712 798 843 1064 1068 1124 1246 1596 1686 1691 1869 1967 2136 2248 2492 3192 3372 3382 3738 3934 4984 5073 5339 5901 6744 6764 7476 7868 10146 10678 11802 11837 13528 14952 15736 16017 20292 21356 23604 23674 25009 32034 35511 37373 40584 42712 47208 47348 50018 64068 71022 74746 75027 94696 100036 112119 128136 142044 149492 150054 175063 200072 224238 284088 298984 300108 350126 448476 475171 525189 600216 700252 896952 950342 1050378 1400504 1425513 1900684 2100756 2851026 3326197 3801368 4201512 5702052 6652394 9978591 11404104 13304788 19957182 26609576 39914364 79828728