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28445904 = 243447467
BaseRepresentation
bin110110010000…
…0110011010000
31222112012110000
41230200303100
524240232104
62453410000
7463533444
oct154406320
958465400
1028445904
1115069913
129639900
135b7c7c6
143ac6824
15276d639
hex1b20cd0

28445904 has 100 divisors (see below), whose sum is σ = 84262464. Its totient is φ = 9260352.

The previous prime is 28445899. The next prime is 28445939. The reversal of 28445904 is 40954482.

28445904 is a `hidden beast` number, since 28 + 44 + 590 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60679 + ... + 61145.

Almost surely, 228445904 is an apocalyptic number.

28445904 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 28445904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42131232).

28445904 is an abundant number, since it is smaller than the sum of its proper divisors (55816560).

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

28445904 is a wasteful number, since it uses less digits than its factorization.

28445904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 28445904 is about 5333.4701649114. The cubic root of 28445904 is about 305.2623524271.

The spelling of 28445904 in words is "twenty-eight million, four hundred forty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 54 72 81 94 108 141 144 162 188 216 282 324 376 423 432 467 564 648 752 846 934 1128 1269 1296 1401 1692 1868 2256 2538 2802 3384 3736 3807 4203 5076 5604 6768 7472 7614 8406 10152 11208 12609 15228 16812 20304 21949 22416 25218 30456 33624 37827 43898 50436 60912 65847 67248 75654 87796 100872 131694 151308 175592 197541 201744 263388 302616 351184 395082 526776 592623 605232 790164 1053552 1185246 1580328 1777869 2370492 3160656 3555738 4740984 7111476 9481968 14222952 28445904