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3728028 = 2231983197
BaseRepresentation
bin1110001110001010011100
321000101220010
432032022130
51423244103
6211523220
743454613
oct16161234
97011803
103728028
112116a17
1212b9510
13a06b45
146d087a
154d9903
hex38e29c

3728028 has 48 divisors (see below), whose sum is σ = 9313920. Its totient is φ = 1157184.

The previous prime is 3728017. The next prime is 3728041. The reversal of 3728028 is 8208273.

3728028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3727986 and 3728004.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 18826 + ... + 19022.

It is an arithmetic number, because the mean of its divisors is an integer number (194040).

Almost surely, 23728028 is an apocalyptic number.

3728028 is a gapful number since it is divisible by the number (38) 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 3728028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4656960).

3728028 is an abundant number, since it is smaller than the sum of its proper divisors (5585892).

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

3728028 is a wasteful number, since it uses less digits than its factorization.

3728028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3728028 is about 1930.8101926393. The cubic root of 3728028 is about 155.0575991273.

The spelling of 3728028 in words is "three million, seven hundred twenty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 197 228 249 332 394 498 591 788 996 1182 1577 2364 3154 3743 4731 6308 7486 9462 11229 14972 16351 18924 22458 32702 44916 49053 65404 98106 196212 310669 621338 932007 1242676 1864014 3728028