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28745024 = 2671119307
BaseRepresentation
bin110110110100…
…1110101000000
32000002101202112
41231221311000
524324320044
62504034452
7466220510
oct155516500
960071675
1028745024
1115253620
129762a28
135c559b9
143b63840
1527cc09e
hex1b69d40

28745024 has 112 divisors (see below), whose sum is σ = 75102720. Its totient is φ = 10575360.

The previous prime is 28745023. The next prime is 28745047. The reversal of 28745024 is 42054782.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28745023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93479 + ... + 93785.

It is an arithmetic number, because the mean of its divisors is an integer number (670560).

Almost surely, 228745024 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 28745024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37551360).

28745024 is an abundant number, since it is smaller than the sum of its proper divisors (46357696).

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

28745024 is a wasteful number, since it uses less digits than its factorization.

28745024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 28745024 is about 5361.4386129098. The cubic root of 28745024 is about 306.3286087810.

The spelling of 28745024 in words is "twenty-eight million, seven hundred forty-five thousand, twenty-four".

Divisors: 1 2 4 7 8 11 14 16 19 22 28 32 38 44 56 64 76 77 88 112 133 152 154 176 209 224 266 304 307 308 352 418 448 532 608 614 616 704 836 1064 1216 1228 1232 1463 1672 2128 2149 2456 2464 2926 3344 3377 4256 4298 4912 4928 5833 5852 6688 6754 8512 8596 9824 11666 11704 13376 13508 17192 19648 23332 23408 23639 27016 34384 40831 46664 46816 47278 54032 64163 68768 81662 93328 93632 94556 108064 128326 137536 163324 186656 189112 216128 256652 326648 373312 378224 449141 513304 653296 756448 898282 1026608 1306592 1512896 1796564 2053216 2613184 3593128 4106432 7186256 14372512 28745024