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28782972 = 22331761257
BaseRepresentation
bin110110111001…
…1000101111100
32000011022211000
41231303011330
524332023342
62504530300
7466436241
oct155630574
960138730
1028782972
111527a089
129780990
135c6a05a
143b735c8
1527d844c
hex1b7317c

28782972 has 96 divisors (see below), whose sum is σ = 80619840. Its totient is φ = 8847360.

The previous prime is 28782961. The next prime is 28782979. The reversal of 28782972 is 27928782.

It is a happy number.

28782972 is nontrivially palindromic in base 5.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28782979) 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, 111868 + ... + 112124.

It is an arithmetic number, because the mean of its divisors is an integer number (839790).

Almost surely, 228782972 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 28782972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40309920).

28782972 is an abundant number, since it is smaller than the sum of its proper divisors (51836868).

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

28782972 is a wasteful number, since it uses less digits than its factorization.

28782972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 340 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The square root of 28782972 is about 5364.9764211970. The cubic root of 28782972 is about 306.4633503206.

The spelling of 28782972 in words is "twenty-eight million, seven hundred eighty-two thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 61 68 102 108 122 153 183 204 244 257 306 366 459 514 549 612 732 771 918 1028 1037 1098 1542 1647 1836 2074 2196 2313 3084 3111 3294 4148 4369 4626 6222 6588 6939 8738 9252 9333 12444 13107 13878 15677 17476 18666 26214 27756 27999 31354 37332 39321 47031 52428 55998 62708 78642 94062 111996 117963 141093 157284 188124 235926 266509 282186 423279 471852 533018 564372 799527 846558 1066036 1599054 1693116 2398581 3198108 4797162 7195743 9594324 14391486 28782972