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28987584 = 2631783107
BaseRepresentation
bin110111010010…
…1000011000000
32000112201111020
41232211003000
524410100314
62513145440
7501250623
oct156450300
960481436
1028987584
11153a988a
12985b280
13600c222
143bc7dba
152828da9
hex1ba50c0

28987584 has 112 divisors (see below), whose sum is σ = 82954368. Its totient is φ = 8900608.

The previous prime is 28987537. The next prime is 28987603. The reversal of 28987584 is 48578982.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270859 + ... + 270965.

It is an arithmetic number, because the mean of its divisors is an integer number (740664).

Almost surely, 228987584 is an apocalyptic number.

28987584 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 28987584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41477184).

28987584 is an abundant number, since it is smaller than the sum of its proper divisors (53966784).

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

28987584 is a wasteful number, since it uses less digits than its factorization.

28987584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 51.

The square root of 28987584 is about 5384.0118870597. The cubic root of 28987584 is about 307.1878304641.

The spelling of 28987584 in words is "twenty-eight million, nine hundred eighty-seven thousand, five hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 107 136 166 192 204 214 249 272 321 332 408 428 498 544 642 664 816 856 996 1088 1284 1328 1411 1632 1712 1819 1992 2568 2656 2822 3264 3424 3638 3984 4233 5136 5312 5457 5644 6848 7276 7968 8466 8881 10272 10914 11288 14552 15936 16932 17762 20544 21828 22576 26643 29104 33864 35524 43656 45152 53286 58208 67728 71048 87312 90304 106572 116416 135456 142096 150977 174624 213144 270912 284192 301954 349248 426288 452931 568384 603908 852576 905862 1207816 1705152 1811724 2415632 3623448 4831264 7246896 9662528 14493792 28987584