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5632388028 = 2233233736079
BaseRepresentation
bin1010011111011011…
…10110101110111100
3112112112022221212000
411033231312232330
543013342404103
62330521342300
7256401336231
oct51755665674
915475287760
105632388028
112430377543
121112337990
136b9b873a7
143b6079788
1522e720aa3
hex14fb76bbc

5632388028 has 96 divisors (see below), whose sum is σ = 15280742400. Its totient is φ = 1790724672.

The previous prime is 5632388023. The next prime is 5632388057. The reversal of 5632388028 is 8208832365.

5632388028 is a `hidden beast` number, since 5 + 632 + 3 + 8 + 8 + 0 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5632388023) 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, 923493 + ... + 929571.

It is an arithmetic number, because the mean of its divisors is an integer number (159174400).

Almost surely, 25632388028 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 5632388028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7640371200).

5632388028 is an abundant number, since it is smaller than the sum of its proper divisors (9648354372).

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

5632388028 is a wasteful number, since it uses less digits than its factorization.

5632388028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6488 (or 6480 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5632388028 is about 75049.2373578839. The cubic root of 5632388028 is about 1779.2249316756.

The spelling of 5632388028 in words is "five billion, six hundred thirty-two million, three hundred eighty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 373 414 621 746 828 1119 1242 1492 2238 2484 3357 4476 6079 6714 8579 10071 12158 13428 17158 18237 20142 24316 25737 34316 36474 40284 51474 54711 72948 77211 102948 109422 139817 154422 164133 218844 231633 279634 308844 328266 419451 463266 559268 656532 838902 926532 1258353 1677804 2267467 2516706 3775059 4534934 5033412 6802401 7550118 9069868 13604802 15100236 20407203 27209604 40814406 52151741 61221609 81628812 104303482 122443218 156455223 208606964 244886436 312910446 469365669 625820892 938731338 1408097007 1877462676 2816194014 5632388028