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28949976 = 23321123323
BaseRepresentation
bin110111001101…
…1110111011000
32000110210220100
41232123313120
524402344401
62512255400
7501033156
oct156336730
960423810
1028949976
1115383600
129841560
135cc8083
143bb83d6
15281cb86
hex1b9bdd8

28949976 has 72 divisors (see below), whose sum is σ = 86207940. Its totient is φ = 8770080.

The previous prime is 28949971. The next prime is 28950007. The reversal of 28949976 is 67994982.

28949976 is a `hidden beast` number, since 2 + 89 + 499 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×289499762 = 1676202220801152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28949971) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7051 + ... + 10373.

Almost surely, 228949976 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 28949976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43103970).

28949976 is an abundant number, since it is smaller than the sum of its proper divisors (57257964).

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

28949976 is a wasteful number, since it uses less digits than its factorization.

28949976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3357 (or 3339 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 28949976 is about 5380.5181906578. The cubic root of 28949976 is about 307.0549262106.

The spelling of 28949976 in words is "twenty-eight million, nine hundred forty-nine thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 3323 4356 6646 8712 9969 13292 19938 26584 29907 36553 39876 59814 73106 79752 109659 119628 146212 219318 239256 292424 328977 402083 438636 657954 804166 877272 1206249 1315908 1608332 2412498 2631816 3216664 3618747 4824996 7237494 9649992 14474988 28949976