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1041128928 = 25327516433
BaseRepresentation
bin111110000011100…
…101110111100000
32200120001211101200
4332003211313200
54113012111203
6251151001200
734541310210
oct7603456740
92616054350
101041128928
11494765634
12250809200
1313790a828
149c3b6240
15616079a3
hex3e0e5de0

1041128928 has 72 divisors (see below), whose sum is σ = 3383675568. Its totient is φ = 297464832.

The previous prime is 1041128861. The next prime is 1041128929. The reversal of 1041128928 is 8298211401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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 = 1041128892 and 1041128901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1041128929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 256201 + ... + 260232.

It is an arithmetic number, because the mean of its divisors is an integer number (46995494).

Almost surely, 21041128928 is an apocalyptic number.

1041128928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1041128928 is an abundant number, since it is smaller than the sum of its proper divisors (2342546640).

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

1041128928 is a wasteful number, since it uses less digits than its factorization.

1041128928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516456 (or 516445 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 1041128928 is about 32266.5295313890. The cubic root of 1041128928 is about 1013.5258686941.

The spelling of 1041128928 in words is "one billion, forty-one million, one hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 516433 1032866 1549299 2065732 3098598 3615031 4131464 4647897 6197196 7230062 8262928 9295794 10845093 12394392 14460124 16525856 18591588 21690186 24788784 28920248 32535279 37183176 43380372 49577568 57840496 65070558 74366352 86760744 115680992 130141116 148732704 173521488 260282232 347042976 520564464 1041128928