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428747528 = 231125361137
BaseRepresentation
bin11001100011100…
…010101100001000
31002212202122001002
4121203202230020
51334224410103
6110313314132
713424202536
oct3143425410
91085678032
10428747528
11200020400
12bb705948
136aa98481
1440d29156
1527991488
hex198e2b08

428747528 has 96 divisors (see below), whose sum is σ = 921737880. Its totient is φ = 186700800.

The previous prime is 428747479. The next prime is 428747587. The reversal of 428747528 is 825747824.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 316768804 + 111978724 = 17798^2 + 10582^2 .

It is a super-2 number, since 2×4287475282 = 367648885532221568, which contains 22 as substring.

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, 3129476 + ... + 3129612.

Almost surely, 2428747528 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 428747528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460868940).

428747528 is an abundant number, since it is smaller than the sum of its proper divisors (492990352).

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

428747528 is a wasteful number, since it uses less digits than its factorization.

428747528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 264 counting only the distinct ones).

The product of its digits is 1003520, while the sum is 47.

The square root of 428747528 is about 20706.2195487250. The cubic root of 428747528 is about 754.0506923213.

It can be divided in two parts, 4287 and 47528, that added together give a palindrome (51815).

The spelling of 428747528 in words is "four hundred twenty-eight million, seven hundred forty-seven thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 22 44 53 61 88 106 121 122 137 212 242 244 274 424 484 488 548 583 671 968 1096 1166 1342 1507 2332 2684 3014 3233 4664 5368 6028 6413 6466 7261 7381 8357 12056 12826 12932 14522 14762 16577 16714 25652 25864 29044 29524 33154 33428 35563 51304 58088 59048 66308 66856 71126 79871 91927 132616 142252 159742 183854 284504 319484 367708 391193 442921 638968 735416 782386 878581 885842 1011197 1564772 1757162 1771684 2022394 3129544 3514324 3543368 4044788 4872131 7028648 8089576 9744262 19488524 38977048 53593441 107186882 214373764 428747528