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5628605000 = 235410612
BaseRepresentation
bin1010011110111110…
…11011001001001000
3112112021012202111212
411033133123021020
543011410330000
62330304312252
7256324232054
oct51737331110
915467182455
105628605000
112429223277
121111012688
136b9161505
143b5772c64
1522e224c35
hex14f7db248

5628605000 has 60 divisors (see below), whose sum is σ = 13200262845. Its totient is φ = 2249320000.

The previous prime is 5628604957. The next prime is 5628605023. The reversal of 5628605000 is 5068265.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 84015556 + 5544589444 = 9166^2 + 74462^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=53050.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 5304470 + ... + 5305530.

Almost surely, 25628605000 is an apocalyptic number.

5628605000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5628605000

5628605000 is an abundant number, since it is smaller than the sum of its proper divisors (7571657845).

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

5628605000 is an frugal number, since it uses more digits than its factorization.

5628605000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 5628605000 is about 75024.0294838927. The cubic root of 5628605000 is about 1778.8265000095.

Multiplying 5628605000 by its sum of digits (32), we get a square (180115360000 = 4244002).

The spelling of 5628605000 in words is "five billion, six hundred twenty-eight million, six hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1061 1250 2122 2500 4244 5000 5305 8488 10610 21220 26525 42440 53050 106100 132625 212200 265250 530500 663125 1061000 1125721 1326250 2251442 2652500 4502884 5305000 5628605 9005768 11257210 22514420 28143025 45028840 56286050 112572100 140715125 225144200 281430250 562860500 703575625 1125721000 1407151250 2814302500 5628605000