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8820028 = 2271959281
BaseRepresentation
bin100001101001…
…010100111100
3121121002210201
4201221110330
54224220103
6513013244
7134653240
oct41512474
917532721
108820028
114a84688
122b54224
131a9a769
141258420
15b9351d
hex86953c

8820028 has 48 divisors (see below), whose sum is σ = 18950400. Its totient is φ = 3507840.

The previous prime is 8820013. The next prime is 8820029. The reversal of 8820028 is 8200288.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 8819978 and 8820005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8820029) by changing a digit.

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, 31248 + ... + 31528.

It is an arithmetic number, because the mean of its divisors is an integer number (394800).

Almost surely, 28820028 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 8820028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9475200).

8820028 is an abundant number, since it is smaller than the sum of its proper divisors (10130372).

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

8820028 is a wasteful number, since it uses less digits than its factorization.

8820028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 8820028 is about 2969.8531950250. The cubic root of 8820028 is about 206.6125294664.

The spelling of 8820028 in words is "eight million, eight hundred twenty thousand, twenty-eight".

Divisors: 1 2 4 7 14 19 28 38 59 76 118 133 236 266 281 413 532 562 826 1121 1124 1652 1967 2242 3934 4484 5339 7847 7868 10678 15694 16579 21356 31388 33158 37373 66316 74746 116053 149492 232106 315001 464212 630002 1260004 2205007 4410014 8820028