Search a number
-
+
28634720 = 255191937
BaseRepresentation
bin110110100111…
…0111001100000
31222212210110012
41231032321200
524312302340
62501424052
7465251102
oct155167140
958783405
1028634720
1115188764
12970b028
135c1772a
143b35572
1527a9565
hex1b4ee60

28634720 has 48 divisors (see below), whose sum is σ = 68076288. Its totient is φ = 11381760.

The previous prime is 28634717. The next prime is 28634737. The reversal of 28634720 is 2743682.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 7 ways as a sum of consecutive naturals, for example, 30092 + ... + 31028.

It is an arithmetic number, because the mean of its divisors is an integer number (1418256).

Almost surely, 228634720 is an apocalyptic number.

28634720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28634720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34038144).

28634720 is an abundant number, since it is smaller than the sum of its proper divisors (39441568).

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

28634720 is a wasteful number, since it uses less digits than its factorization.

28634720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1135 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 28634720 is about 5351.1419342043. The cubic root of 28634720 is about 305.9362790410.

The spelling of 28634720 in words is "twenty-eight million, six hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 191 382 764 937 955 1528 1874 1910 3056 3748 3820 4685 6112 7496 7640 9370 14992 15280 18740 29984 30560 37480 74960 149920 178967 357934 715868 894835 1431736 1789670 2863472 3579340 5726944 7158680 14317360 28634720