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428085360 = 24325594563
BaseRepresentation
bin11001100001000…
…001000001110000
31002211111222201100
4121201001001300
51334042212420
6110251204400
713415444163
oct3141010160
91084458640
10428085360
111aa70895a
12bb446700
136a8c5c61
1440bd5ada
15278b0190
hex19841070

428085360 has 60 divisors (see below), whose sum is σ = 1437655752. Its totient is φ = 114155904.

The previous prime is 428085331. The next prime is 428085391. The reversal of 428085360 is 63580824.

428085360 is a `hidden beast` number, since 42 + 80 + 8 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 296562 + ... + 298001.

Almost surely, 2428085360 is an apocalyptic number.

428085360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

428085360 is an abundant number, since it is smaller than the sum of its proper divisors (1009570392).

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

428085360 is a wasteful number, since it uses less digits than its factorization.

428085360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594582 (or 594573 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 428085360 is about 20690.2237783935. The cubic root of 428085360 is about 753.6623009605.

The spelling of 428085360 in words is "four hundred twenty-eight million, eighty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 594563 1189126 1783689 2378252 2972815 3567378 4756504 5351067 5945630 7134756 8918445 9513008 10702134 11891260 14269512 17836890 21404268 23782520 26755335 28539024 35673780 42808536 47565040 53510670 71347560 85617072 107021340 142695120 214042680 428085360