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67928328 = 233313171423
BaseRepresentation
bin1000000110010…
…00000100001000
311201211010011000
410003020010020
5114342201303
610423535000
71453244526
oct403100410
9151733130
1067928328
1135386616
121a8ba460
13110c48a0
149043316
155e6bda3
hex40c8108

67928328 has 128 divisors (see below), whose sum is σ = 215308800. Its totient is φ = 19657728.

The previous prime is 67928323. The next prime is 67928339. The reversal of 67928328 is 82382976.

It is a super-2 number, since 2×679283282 = 9228515489751168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (67928321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47025 + ... + 48447.

It is an arithmetic number, because the mean of its divisors is an integer number (1682100).

Almost surely, 267928328 is an apocalyptic number.

67928328 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67928328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107654400).

67928328 is an abundant number, since it is smaller than the sum of its proper divisors (147380472).

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

67928328 is a wasteful number, since it uses less digits than its factorization.

67928328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1468 (or 1458 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 67928328 is about 8241.8643521960. The cubic root of 67928328 is about 408.0220576310.

The spelling of 67928328 in words is "sixty-seven million, nine hundred twenty-eight thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 17 18 24 26 27 34 36 39 51 52 54 68 72 78 102 104 108 117 136 153 156 204 216 221 234 306 312 351 408 442 459 468 612 663 702 884 918 936 1224 1326 1404 1423 1768 1836 1989 2652 2808 2846 3672 3978 4269 5304 5692 5967 7956 8538 11384 11934 12807 15912 17076 18499 23868 24191 25614 34152 36998 38421 47736 48382 51228 55497 72573 73996 76842 96764 102456 110994 145146 147992 153684 166491 193528 217719 221988 290292 307368 314483 332982 435438 443976 499473 580584 628966 653157 665964 870876 943449 998946 1257932 1306314 1331928 1741752 1886898 1997892 2515864 2612628 2830347 3773796 3995784 5225256 5660694 7547592 8491041 11321388 16982082 22642776 33964164 67928328