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28354032 = 24327231223
BaseRepresentation
bin110110000101…
…0010111110000
31222100112102100
41230022113300
524224312112
62451420400
7463001550
oct154122760
958315370
1028354032
1115006893
1295b4700
135b49a45
143aa1160
1527512dc
hex1b0a5f0

28354032 has 120 divisors (see below), whose sum is σ = 94708224. Its totient is φ = 7742592.

The previous prime is 28354021. The next prime is 28354069. The reversal of 28354032 is 23045382.

It is a super-2 number, since 2×283540322 = 1607902261314048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 28353987 and 28354005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22573 + ... + 23795.

Almost surely, 228354032 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 28354032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47354112).

28354032 is an abundant number, since it is smaller than the sum of its proper divisors (66354192).

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

28354032 is a wasteful number, since it uses less digits than its factorization.

28354032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1267 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 28354032 is about 5324.8504204344. The cubic root of 28354032 is about 304.9333617741.

The spelling of 28354032 in words is "twenty-eight million, three hundred fifty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1223 1288 1449 1656 1932 2446 2576 2898 3312 3669 3864 4892 5796 7338 7728 8561 9784 11007 11592 14676 17122 19568 22014 23184 25683 28129 29352 34244 44028 51366 56258 58704 68488 77049 84387 88056 102732 112516 136976 154098 168774 176112 196903 205464 225032 253161 308196 337548 393806 410928 450064 506322 590709 616392 675096 787612 1012644 1181418 1232784 1350192 1575224 1772127 2025288 2362836 3150448 3544254 4050576 4725672 7088508 9451344 14177016 28354032