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28723824 = 24321511321
BaseRepresentation
bin110110110010…
…0101001110000
32000001022200100
41231210221300
524323130244
62503352400
7466101633
oct155445160
960038610
1028723824
11152396a8
129752700
135c4915c
143b59c1a
1527c5b69
hex1b64a70

28723824 has 60 divisors (see below), whose sum is σ = 80980432. Its totient is φ = 9504000.

The previous prime is 28723823. The next prime is 28723837. The reversal of 28723824 is 42832782.

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 (28723823) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21084 + ... + 22404.

Almost surely, 228723824 is an apocalyptic number.

28723824 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 28723824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40490216).

28723824 is an abundant number, since it is smaller than the sum of its proper divisors (52256608).

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

28723824 is a wasteful number, since it uses less digits than its factorization.

28723824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1477 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 28723824 is about 5359.4611669458. The cubic root of 28723824 is about 306.2532825415.

The spelling of 28723824 in words is "twenty-eight million, seven hundred twenty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 151 302 453 604 906 1208 1321 1359 1812 2416 2642 2718 3624 3963 5284 5436 7248 7926 10568 10872 11889 15852 21136 21744 23778 31704 47556 63408 95112 190224 199471 398942 598413 797884 1196826 1595768 1795239 2393652 3191536 3590478 4787304 7180956 9574608 14361912 28723824