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28974208 = 27415521
BaseRepresentation
bin110111010000…
…1110010000000
32000112001010211
41232201302000
524404133313
62513003504
7501163624
oct156416200
960461124
1028974208
111539a82a
129853594
136006103
143bc3184
152824e3d
hex1ba1c80

28974208 has 32 divisors (see below), whose sum is σ = 59140620. Its totient is φ = 14131200.

The previous prime is 28974203. The next prime is 28974233. The reversal of 28974208 is 80247982.

28974208 = T342 + T343 + ... + T597.

It can be written as a sum of positive squares in 2 ways, for example, as 24681024 + 4293184 = 4968^2 + 2072^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (28974203) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2488 + ... + 8008.

Almost surely, 228974208 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 28974208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29570310).

28974208 is an abundant number, since it is smaller than the sum of its proper divisors (30166412).

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

28974208 is an equidigital number, since it uses as much as digits as its factorization.

28974208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5576 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 28974208 is about 5382.7695473613. The cubic root of 28974208 is about 307.1405737191.

The spelling of 28974208 in words is "twenty-eight million, nine hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 328 656 1312 2624 5248 5521 11042 22084 44168 88336 176672 226361 353344 452722 706688 905444 1810888 3621776 7243552 14487104 28974208