Search a number
-
+
428828736 = 2637319069
BaseRepresentation
bin11001100011110…
…110100001000000
31002212220202102210
4121203312201000
51334240004421
6110315142120
713424661360
oct3143664100
91085822383
10428828736
11200076416
12bb744940
136aac641b
1440d4a9a0
15279aa576
hex198f6840

428828736 has 56 divisors (see below), whose sum is σ = 1296700480. Its totient is φ = 122522112.

The previous prime is 428828683. The next prime is 428828747. The reversal of 428828736 is 637828824.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 158191 + ... + 160878.

Almost surely, 2428828736 is an apocalyptic number.

It is an amenable number.

428828736 is an abundant number, since it is smaller than the sum of its proper divisors (867871744).

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

428828736 is a wasteful number, since it uses less digits than its factorization.

428828736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319091 (or 319081 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 48.

The square root of 428828736 is about 20708.1804125809. The cubic root of 428828736 is about 754.0982969362.

The spelling of 428828736 in words is "four hundred twenty-eight million, eight hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 319069 638138 957207 1276276 1914414 2233483 2552552 3828828 4466966 5105104 6700449 7657656 8933932 10210208 13400898 15315312 17867864 20420416 26801796 30630624 35735728 53603592 61261248 71471456 107207184 142942912 214414368 428828736