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28794216 = 23311293761
BaseRepresentation
bin110110111010…
…1110101101000
32000011220020110
41231311311220
524332403331
62505054320
7466514103
oct155656550
960156213
1028794216
1115287580
1297873a0
135c721c9
143b7773a
1527db946
hex1b75d68

28794216 has 64 divisors (see below), whose sum is σ = 81259200. Its totient is φ = 8422400.

The previous prime is 28794179. The next prime is 28794217. The reversal of 28794216 is 61249782.

28794216 = T35 + T36 + ... + T556.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28794217) 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, 5776 + ... + 9536.

It is an arithmetic number, because the mean of its divisors is an integer number (1269675).

Almost surely, 228794216 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 28794216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40629600).

28794216 is an abundant number, since it is smaller than the sum of its proper divisors (52464984).

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

28794216 is a wasteful number, since it uses less digits than its factorization.

28794216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3806 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 28794216 is about 5366.0242265573. The cubic root of 28794216 is about 306.5032515199.

The spelling of 28794216 in words is "twenty-eight million, seven hundred ninety-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 348 638 696 957 1276 1914 2552 3761 3828 7522 7656 11283 15044 22566 30088 41371 45132 82742 90264 109069 124113 165484 218138 248226 327207 330968 436276 496452 654414 872552 992904 1199759 1308828 2399518 2617656 3599277 4799036 7198554 9598072 14397108 28794216