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28938312 = 23321343719
BaseRepresentation
bin110111001100…
…1000001001000
32000110012220100
41232121001020
524402011222
62512125400
7500654154
oct156310110
960405810
1028938312
1115375867
129836860
135cc2980
143bb4064
1528194ac
hex1b99048

28938312 has 96 divisors (see below), whose sum is σ = 86486400. Its totient is φ = 8684928.

The previous prime is 28938307. The next prime is 28938313. The reversal of 28938312 is 21383982.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (28938313) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39889 + ... + 40607.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 228938312 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 28938312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43243200).

28938312 is an abundant number, since it is smaller than the sum of its proper divisors (57548088).

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

28938312 is a wasteful number, since it uses less digits than its factorization.

28938312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 780 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 28938312 is about 5379.4341709886. The cubic root of 28938312 is about 307.0136830013.

The spelling of 28938312 in words is "twenty-eight million, nine hundred thirty-eight thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 43 52 72 78 86 104 117 129 156 172 234 258 312 344 387 468 516 559 719 774 936 1032 1118 1438 1548 1677 2157 2236 2876 3096 3354 4314 4472 5031 5752 6471 6708 8628 9347 10062 12942 13416 17256 18694 20124 25884 28041 30917 37388 40248 51768 56082 61834 74776 84123 92751 112164 123668 168246 185502 224328 247336 278253 336492 371004 401921 556506 672984 742008 803842 1113012 1205763 1607684 2226024 2411526 3215368 3617289 4823052 7234578 9646104 14469156 28938312