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58563428 = 227211231181
BaseRepresentation
bin1101111101100…
…1101101100100
311002012022220212
43133121231210
5104443012203
65451114552
71310531600
oct337315544
9132168825
1058563428
113006a630
1217742a58
13c196121
147ac6500
15521c1d8
hex37d9b64

58563428 has 72 divisors (see below), whose sum is σ = 135825984. Its totient is φ = 21806400.

The previous prime is 58563413. The next prime is 58563443. The reversal of 58563428 is 82436585.

It is an interprime number because it is at equal distance from previous prime (58563413) and next prime (58563443).

It is a super-2 number, since 2×585634282 = 6859350198222368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48998 + ... + 50178.

It is an arithmetic number, because the mean of its divisors is an integer number (1886472).

Almost surely, 258563428 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 58563428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67912992).

58563428 is an abundant number, since it is smaller than the sum of its proper divisors (77262556).

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

58563428 is a wasteful number, since it uses less digits than its factorization.

58563428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1224 counting only the distinct ones).

The product of its digits is 230400, while the sum is 41.

The square root of 58563428 is about 7652.6745651439. The cubic root of 58563428 is about 388.3370525697.

The spelling of 58563428 in words is "fifty-eight million, five hundred sixty-three thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 49 77 92 98 154 161 196 253 308 322 506 539 644 1012 1078 1127 1181 1771 2156 2254 2362 3542 4508 4724 7084 8267 12397 12991 16534 24794 25982 27163 33068 49588 51964 54326 57869 90937 108652 115738 181874 190141 231476 298793 363748 380282 597586 636559 760564 1195172 1273118 1330987 2091551 2546236 2661974 4183102 5323948 8366204 14640857 29281714 58563428