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28803841920 = 2733571983151
BaseRepresentation
bin11010110100110101…
…111011111110000000
32202100101111202222000
4122310311323332000
5432442240420140
621122102144000
72036533421340
oct326465737600
982311452860
1028803841920
1111241021837
1256ba422000
132940617559
141573638d20
15b38aeba30
hex6b4d7bf80

28803841920 has 1024 divisors, whose sum is σ = 125024256000. Its totient is φ = 6121267200.

The previous prime is 28803841867. The next prime is 28803841943. The reversal of 28803841920 is 2914830882.

28803841920 is a `hidden beast` number, since 2 + 8 + 80 + 384 + 192 + 0 = 666.

It is a super-2 number, since 2×288038419202 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 190753845 + ... + 190753995.

It is an arithmetic number, because the mean of its divisors is an integer number (122094000).

Almost surely, 228803841920 is an apocalyptic number.

28803841920 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 28803841920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62512128000).

28803841920 is an abundant number, since it is smaller than the sum of its proper divisors (96220414080).

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

28803841920 is a wasteful number, since it uses less digits than its factorization.

28803841920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 28803841920 in words is "twenty-eight billion, eight hundred three million, eight hundred forty-one thousand, nine hundred twenty".