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3128928 = 253112963
BaseRepresentation
bin1011111011111001100000
312212222002020
423323321200
51300111203
6151021440
735411145
oct13737140
95788066
103128928
1118478a0
12106a880
1385724a
145b63cc
1541c153
hex2fbe60

3128928 has 48 divisors (see below), whose sum is σ = 8963136. Its totient is φ = 947840.

The previous prime is 3128927. The next prime is 3128933. The reversal of 3128928 is 8298213.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3128921) by changing a digit.

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, 426 + ... + 2537.

It is an arithmetic number, because the mean of its divisors is an integer number (186732).

Almost surely, 23128928 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 3128928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4481568).

3128928 is an abundant number, since it is smaller than the sum of its proper divisors (5834208).

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

3128928 is a wasteful number, since it uses less digits than its factorization.

3128928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2987 (or 2979 counting only the distinct ones).

The product of its digits is 6912, while the sum is 33.

The square root of 3128928 is about 1768.8776102376. The cubic root of 3128928 is about 146.2621174853.

The spelling of 3128928 in words is "three million, one hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 2963 5926 8889 11852 17778 23704 32593 35556 47408 65186 71112 94816 97779 130372 142224 195558 260744 284448 391116 521488 782232 1042976 1564464 3128928