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28802172 = 2237418363
BaseRepresentation
bin110110111011…
…1110001111100
32000012022011010
41231313301330
524333132142
62505155220
7466546230
oct155676174
960168133
1028802172
1115292553
12978bb10
135c75a09
143b7a5c0
1527dde9c
hex1b77c7c

28802172 has 48 divisors (see below), whose sum is σ = 78688512. Its totient is φ = 8027520.

The previous prime is 28802167. The next prime is 28802173. The reversal of 28802172 is 27120882.

It is a happy number.

It is a super-2 number, since 2×288021722 = 1659130223835168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28802173) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 738 + ... + 7625.

It is an arithmetic number, because the mean of its divisors is an integer number (1639344).

Almost surely, 228802172 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 28802172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39344256).

28802172 is an abundant number, since it is smaller than the sum of its proper divisors (49886340).

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

28802172 is a wasteful number, since it uses less digits than its factorization.

28802172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8418 (or 8416 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 28802172 is about 5366.7655063362. The cubic root of 28802172 is about 306.5314784308.

The spelling of 28802172 in words is "twenty-eight million, eight hundred two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 287 492 574 861 1148 1722 3444 8363 16726 25089 33452 50178 58541 100356 117082 175623 234164 342883 351246 685766 702492 1028649 1371532 2057298 2400181 4114596 4800362 7200543 9600724 14401086 28802172