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28724332 = 22713234773
BaseRepresentation
bin110110110010…
…0110001101100
32000001100101011
41231210301230
524323134312
62503355004
7466103260
oct155446154
960040334
1028724332
111523a01a
129752a64
135c49460
143b5a0a0
1527c5da7
hex1b64c6c

28724332 has 96 divisors (see below), whose sum is σ = 66834432. Its totient is φ = 10492416.

The previous prime is 28724303. The next prime is 28724341. The reversal of 28724332 is 23342782.

It is a junction number, because it is equal to n+sod(n) for n = 28724294 and 28724303.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393448 + ... + 393520.

It is an arithmetic number, because the mean of its divisors is an integer number (696192).

Almost surely, 228724332 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 28724332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33417216).

28724332 is an abundant number, since it is smaller than the sum of its proper divisors (38110100).

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

28724332 is a wasteful number, since it uses less digits than its factorization.

28724332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 165 counting only the distinct ones).

The product of its digits is 16128, while the sum is 31.

The square root of 28724332 is about 5359.5085595603. The cubic root of 28724332 is about 306.2550879621.

The spelling of 28724332 in words is "twenty-eight million, seven hundred twenty-four thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 23 26 28 46 47 52 73 91 92 94 146 161 182 188 292 299 322 329 364 511 598 611 644 658 949 1022 1081 1196 1222 1316 1679 1898 2044 2093 2162 2444 3358 3431 3796 4186 4277 4324 6643 6716 6862 7567 8372 8554 11753 13286 13724 14053 15134 17108 21827 23506 24017 26572 28106 30268 43654 44603 47012 48034 56212 78913 87308 89206 96068 98371 152789 157826 178412 196742 305578 312221 315652 393484 552391 611156 624442 1025869 1104782 1248884 2051738 2209564 4103476 7181083 14362166 28724332