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428570408 = 2371723337
BaseRepresentation
bin11001100010110…
…111011100101000
31002212102122002002
4121202313130220
51334203223113
6110305430132
713422534260
oct3142673450
91085378062
10428570408
111aaa0a322
12bb63b348
136aa35976
1440cc07a0
1527958c58
hex198b7728

428570408 has 128 divisors (see below), whose sum is σ = 1044057600. Its totient is φ = 160883712.

The previous prime is 428570407. The next prime is 428570411. The reversal of 428570408 is 804075824.

It is a super-2 number, since 2×4285704082 = 367345189226572928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (428570407) 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, 11582966 + ... + 11583002.

It is an arithmetic number, because the mean of its divisors is an integer number (8156700).

Almost surely, 2428570408 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 428570408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522028800).

428570408 is an abundant number, since it is smaller than the sum of its proper divisors (615487192).

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

428570408 is a wasteful number, since it uses less digits than its factorization.

428570408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 428570408 is about 20701.9421311142. The cubic root of 428570408 is about 753.9468426620.

The spelling of 428570408 in words is "four hundred twenty-eight million, five hundred seventy thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 17 23 28 34 37 46 56 68 74 92 119 136 148 161 184 238 259 296 322 391 476 518 529 629 644 782 851 952 1036 1058 1258 1288 1564 1702 2072 2116 2516 2737 3128 3404 3703 4232 4403 5032 5474 5957 6808 7406 8806 8993 10948 11914 12167 14467 14812 17612 17986 19573 21896 23828 24334 28934 29624 35224 35972 39146 47656 48668 57868 62951 71944 78292 85169 97336 101269 115736 125902 137011 156584 170338 202538 206839 251804 274022 332741 340676 405076 413678 450179 503608 548044 665482 681352 810152 827356 900358 1096088 1330964 1447873 1654712 1800716 2329187 2661928 2895746 3151253 3601432 4658374 5791492 6302506 7653043 9316748 11582984 12605012 15306086 18633496 25210024 30612172 53571301 61224344 107142602 214285204 428570408