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28420362 = 2331783373
BaseRepresentation
bin110110001101…
…0100100001010
31222110220102000
41230122210022
524233422422
62453051430
7463366125
oct154324412
958426360
1028420362
1115051703
129626b76
135b70ca9
143abb3bc
152765cac
hex1b1a90a

28420362 has 64 divisors (see below), whose sum is σ = 67858560. Its totient is φ = 8785152.

The previous prime is 28420309. The next prime is 28420363. The reversal of 28420362 is 26302482.

28420362 is a `hidden beast` number, since 284 + 20 + 362 = 666.

It is a super-2 number, since 2×284203622 = 1615433952422088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (28420363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76008 + ... + 76380.

It is an arithmetic number, because the mean of its divisors is an integer number (1060290).

Almost surely, 228420362 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28420362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33929280).

28420362 is an abundant number, since it is smaller than the sum of its proper divisors (39438198).

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

28420362 is a wasteful number, since it uses less digits than its factorization.

28420362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 28420362 is about 5331.0751260885. The cubic root of 28420362 is about 305.1709585325.

It can be divided in two parts, 28420 and 362, that added together give a palindrome (28782).

The spelling of 28420362 in words is "twenty-eight million, four hundred twenty thousand, three hundred sixty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 83 102 153 166 249 306 373 459 498 746 747 918 1119 1411 1494 2238 2241 2822 3357 4233 4482 6341 6714 8466 10071 12682 12699 19023 20142 25398 30959 38046 38097 57069 61918 76194 92877 114138 171207 185754 278631 342414 526303 557262 835893 1052606 1578909 1671786 3157818 4736727 9473454 14210181 28420362