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28922832 = 243543173
BaseRepresentation
bin110111001010…
…1001111010000
32000102102200000
41232111033100
524401012312
62511530000
7500561061
oct156251720
960372600
1028922832
1115365174
129829900
135cb8903
143bac568
152814adc
hex1b953d0

28922832 has 120 divisors (see below), whose sum is σ = 86390304. Its totient is φ = 9362304.

The previous prime is 28922827. The next prime is 28922833. The reversal of 28922832 is 23822982.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28922833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167098 + ... + 167270.

Almost surely, 228922832 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 28922832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43195152).

28922832 is an abundant number, since it is smaller than the sum of its proper divisors (57467472).

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

28922832 is a wasteful number, since it uses less digits than its factorization.

28922832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 28922832 is about 5377.9951654869. The cubic root of 28922832 is about 306.9589295255.

The spelling of 28922832 in words is "twenty-eight million, nine hundred twenty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 43 48 54 72 81 86 108 129 144 162 172 173 216 243 258 324 344 346 387 432 486 516 519 648 688 692 774 972 1032 1038 1161 1296 1384 1548 1557 1944 2064 2076 2322 2768 3096 3114 3483 3888 4152 4644 4671 6192 6228 6966 7439 8304 9288 9342 10449 12456 13932 14013 14878 18576 18684 20898 22317 24912 27864 28026 29756 37368 41796 42039 44634 55728 56052 59512 66951 74736 83592 84078 89268 112104 119024 133902 167184 168156 178536 200853 224208 267804 336312 357072 401706 535608 602559 672624 803412 1071216 1205118 1606824 1807677 2410236 3213648 3615354 4820472 7230708 9640944 14461416 28922832