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28938900 = 22352195077
BaseRepresentation
bin110111001100…
…1001010010100
32000110020201010
41232121022110
524402021100
62512132220
7500655654
oct156311224
960406633
1028938900
1115376251
129837070
135cc3013
143bb4364
152819750
hex1b99294

28938900 has 72 divisors (see below), whose sum is σ = 88154080. Its totient is φ = 7309440.

The previous prime is 28938893. The next prime is 28938911. The reversal of 28938900 is 983982.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3162 + ... + 8238.

Almost surely, 228938900 is an apocalyptic number.

28938900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28938900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44077040).

28938900 is an abundant number, since it is smaller than the sum of its proper divisors (59215180).

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

28938900 is a wasteful number, since it uses less digits than its factorization.

28938900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5113 (or 5106 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 28938900 is about 5379.4888232991. The cubic root of 28938900 is about 307.0157623995.

The spelling of 28938900 in words is "twenty-eight million, nine hundred thirty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5077 5700 10154 15231 20308 25385 30462 50770 60924 76155 96463 101540 126925 152310 192926 253850 289389 304620 380775 385852 482315 507700 578778 761550 964630 1157556 1446945 1523100 1929260 2411575 2893890 4823150 5787780 7234725 9646300 14469450 28938900