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28792192 = 27113132
BaseRepresentation
bin110110111010…
…1010110000000
32000011210110111
41231311112000
524332322232
62505041104
7466505152
oct155652600
960153414
1028792192
1115286000
129786194
135c71300
143b76ad2
1527db047
hex1b75580

28792192 has 96 divisors (see below), whose sum is σ = 68317560. Its totient is φ = 12080640.

The previous prime is 28792189. The next prime is 28792207. The reversal of 28792192 is 29129782.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2214778 + ... + 2214790.

Almost surely, 228792192 is an apocalyptic number.

28792192 is a gapful number since it is divisible by the number (22) 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 28792192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34158780).

28792192 is an abundant number, since it is smaller than the sum of its proper divisors (39525368).

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

28792192 is an equidigital number, since it uses as much as digits as its factorization.

28792192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 26 counting only the distinct ones).

The product of its digits is 36288, while the sum is 40.

The square root of 28792192 is about 5365.8356292380. The cubic root of 28792192 is about 306.4960697868.

The spelling of 28792192 in words is "twenty-eight million, seven hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 128 143 169 176 208 242 286 338 352 416 484 572 676 704 832 968 1144 1331 1352 1408 1573 1664 1859 1936 2288 2662 2704 3146 3718 3872 4576 5324 5408 6292 7436 7744 9152 10648 10816 12584 14872 15488 17303 18304 20449 21296 21632 25168 29744 34606 40898 42592 50336 59488 69212 81796 85184 100672 118976 138424 163592 170368 201344 224939 237952 276848 327184 449878 553696 654368 899756 1107392 1308736 1799512 2214784 2617472 3599024 7198048 14396096 28792192