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672236928 = 27331117683
BaseRepresentation
bin101000000100011…
…000010110000000
31201211221011201000
4220010120112000
52334043040203
6150412212000
722441630266
oct5004302600
91654834630
10672236928
11315507610
1216916a000
13a936b63c
14653cc436
153e03b4a3
hex28118580

672236928 has 128 divisors (see below), whose sum is σ = 2164521600. Its totient is φ = 203696640.

The previous prime is 672236923. The next prime is 672236947. The reversal of 672236928 is 829632276.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (672236923) 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, 29175 + ... + 46857.

It is an arithmetic number, because the mean of its divisors is an integer number (16910325).

Almost surely, 2672236928 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 672236928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1082260800).

672236928 is an abundant number, since it is smaller than the sum of its proper divisors (1492284672).

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

672236928 is a wasteful number, since it uses less digits than its factorization.

672236928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17717 (or 17699 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 672236928 is about 25927.5322389154. The cubic root of 672236928 is about 876.0067554367.

The spelling of 672236928 in words is "six hundred seventy-two million, two hundred thirty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 128 132 144 176 192 198 216 264 288 297 352 384 396 432 528 576 594 704 792 864 1056 1152 1188 1408 1584 1728 2112 2376 3168 3456 4224 4752 6336 9504 12672 17683 19008 35366 38016 53049 70732 106098 141464 159147 194513 212196 282928 318294 389026 424392 477441 565856 583539 636588 778052 848784 954882 1131712 1167078 1273176 1556104 1697568 1750617 1909764 2263424 2334156 2546352 3112208 3395136 3501234 3819528 4668312 5092704 5251851 6224416 6790272 7002468 7639056 9336624 10185408 10503702 12448832 14004936 15278112 18673248 20370816 21007404 24897664 28009872 30556224 37346496 42014808 56019744 61112448 74692992 84029616 112039488 168059232 224078976 336118464 672236928