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58428280 = 23523411549
BaseRepresentation
bin1101111011100…
…0101101111000
311001221110112101
43132320231320
5104424201110
65444153144
71306426561
oct336705570
9131843471
1058428280
112aa88039
12176987b4
13c149761
147a8d168
1551e213a
hex37b8b78

58428280 has 64 divisors (see below), whose sum is σ = 140616000. Its totient is φ = 21795840.

The previous prime is 58428259. The next prime is 58428283. The reversal of 58428280 is 8282485.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58428283) 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, 36946 + ... + 38494.

It is an arithmetic number, because the mean of its divisors is an integer number (2197125).

Almost surely, 258428280 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 58428280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70308000).

58428280 is an abundant number, since it is smaller than the sum of its proper divisors (82187720).

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

58428280 is a wasteful number, since it uses less digits than its factorization.

58428280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1620 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 37.

The square root of 58428280 is about 7643.8393494369. The cubic root of 58428280 is about 388.0380980764.

The spelling of 58428280 in words is "fifty-eight million, four hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 20 23 40 41 46 82 92 115 164 184 205 230 328 410 460 820 920 943 1549 1640 1886 3098 3772 4715 6196 7544 7745 9430 12392 15490 18860 30980 35627 37720 61960 63509 71254 127018 142508 178135 254036 285016 317545 356270 508072 635090 712540 1270180 1425080 1460707 2540360 2921414 5842828 7303535 11685656 14607070 29214140 58428280