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28432728 = 2333139947
BaseRepresentation
bin110110001110…
…1100101011000
31222111112101000
41230131211120
524234321403
62453225000
7463450152
oct154354530
958445330
1028432728
111505aa25
129632160
135b767cc
143ac1ad2
1527697a3
hex1b1d958

28432728 has 64 divisors (see below), whose sum is σ = 79632000. Its totient is φ = 9399456.

The previous prime is 28432711. The next prime is 28432739. The reversal of 28432728 is 82723482.

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 = 28432692 and 28432701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29551 + ... + 30497.

It is an arithmetic number, because the mean of its divisors is an integer number (1244250).

Almost surely, 228432728 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 28432728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39816000).

28432728 is an abundant number, since it is smaller than the sum of its proper divisors (51199272).

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

28432728 is a wasteful number, since it uses less digits than its factorization.

28432728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1101 (or 1091 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 28432728 is about 5332.2348035322. The cubic root of 28432728 is about 305.2152131515.

The spelling of 28432728 in words is "twenty-eight million, four hundred thirty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 139 216 278 417 556 834 947 1112 1251 1668 1894 2502 2841 3336 3753 3788 5004 5682 7506 7576 8523 10008 11364 15012 17046 22728 25569 30024 34092 51138 68184 102276 131633 204552 263266 394899 526532 789798 1053064 1184697 1579596 2369394 3159192 3554091 4738788 7108182 9477576 14216364 28432728