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28431828 = 223219197211
BaseRepresentation
bin110110001110…
…1010111010100
31222111111010200
41230131113110
524234304303
62453220500
7463444425
oct154352724
958444120
1028431828
111505a287
129631730
135b76289
143ac164c
1527693a3
hex1b1d5d4

28431828 has 72 divisors (see below), whose sum is σ = 76396320. Its totient is φ = 8890560.

The previous prime is 28431791. The next prime is 28431829. The reversal of 28431828 is 82813482.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 28431792 and 28431801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28431829) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134643 + ... + 134853.

It is an arithmetic number, because the mean of its divisors is an integer number (1061060).

Almost surely, 228431828 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 28431828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38198160).

28431828 is an abundant number, since it is smaller than the sum of its proper divisors (47964492).

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

28431828 is a wasteful number, since it uses less digits than its factorization.

28431828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437 (or 432 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 28431828 is about 5332.1504104817. The cubic root of 28431828 is about 305.2119927243.

The spelling of 28431828 in words is "twenty-eight million, four hundred thirty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 197 211 228 342 394 422 591 633 684 788 844 1182 1266 1773 1899 2364 2532 3546 3743 3798 4009 7092 7486 7596 8018 11229 12027 14972 16036 22458 24054 33687 36081 41567 44916 48108 67374 72162 83134 124701 134748 144324 166268 249402 374103 498804 748206 789773 1496412 1579546 2369319 3159092 4738638 7107957 9477276 14215914 28431828