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28728504 = 23327217479
BaseRepresentation
bin110110110010…
…1110010111000
32000001120002200
41231211302320
524323303004
62503430200
7466121400
oct155456270
960046080
1028728504
1115242172
129755360
135c4b31c
143b5b800
1527c7239
hex1b65cb8

28728504 has 144 divisors (see below), whose sum is σ = 96033600. Its totient is φ = 7709184.

The previous prime is 28728503. The next prime is 28728523. The reversal of 28728504 is 40582782.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28728503) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59737 + ... + 60215.

It is an arithmetic number, because the mean of its divisors is an integer number (666900).

Almost surely, 228728504 is an apocalyptic number.

28728504 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 28728504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48016800).

28728504 is an abundant number, since it is smaller than the sum of its proper divisors (67305096).

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

28728504 is a wasteful number, since it uses less digits than its factorization.

28728504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 28728504 is about 5359.8977602189. The cubic root of 28728504 is about 306.2699143513.

The spelling of 28728504 in words is "twenty-eight million, seven hundred twenty-eight thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 49 51 56 63 68 72 84 98 102 119 126 136 147 153 168 196 204 238 252 294 306 357 392 408 441 476 479 504 588 612 714 833 882 952 958 1071 1176 1224 1428 1437 1666 1764 1916 2142 2499 2856 2874 3332 3353 3528 3832 4284 4311 4998 5748 6664 6706 7497 8143 8568 8622 9996 10059 11496 13412 14994 16286 17244 19992 20118 23471 24429 26824 29988 30177 32572 34488 40236 46942 48858 57001 59976 60354 65144 70413 73287 80472 93884 97716 114002 120708 140826 146574 171003 187768 195432 211239 228004 241416 281652 293148 342006 399007 422478 456008 513009 563304 586296 684012 798014 844956 1026018 1197021 1368024 1596028 1689912 2052036 2394042 3192056 3591063 4104072 4788084 7182126 9576168 14364252 28728504