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8072028 = 2233312411
BaseRepresentation
bin11110110010101101011100
3120012002202000
4132302231130
54031301103
6445002300
7125416416
oct36625534
916162660
108072028
1146136a8
122853390
131898163
1411019b6
15a96aa3
hex7b2b5c

8072028 has 48 divisors (see below), whose sum is σ = 21611520. Its totient is φ = 2602800.

The previous prime is 8072027. The next prime is 8072041. The reversal of 8072028 is 8202708.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 8071992 and 8072010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8072027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2143 + ... + 4553.

It is an arithmetic number, because the mean of its divisors is an integer number (450240).

Almost surely, 28072028 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 8072028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10805760).

8072028 is an abundant number, since it is smaller than the sum of its proper divisors (13539492).

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

8072028 is a wasteful number, since it uses less digits than its factorization.

8072028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2455 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 8072028 is about 2841.1314647513. The cubic root of 8072028 is about 200.5984408898.

The spelling of 8072028 in words is "eight million, seventy-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 93 108 124 186 279 372 558 837 1116 1674 2411 3348 4822 7233 9644 14466 21699 28932 43398 65097 74741 86796 130194 149482 224223 260388 298964 448446 672669 896892 1345338 2018007 2690676 4036014 8072028