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28971000 = 2333532937
BaseRepresentation
bin110111010000…
…0111111111000
32000111212202000
41232200333320
524404033000
62512541000
7501151362
oct156407770
960455660
1028971000
1115398383
129851760
136004806
143bc1d32
152824000
hex1ba0ff8

28971000 has 256 divisors, whose sum is σ = 106704000. Its totient is φ = 7257600.

The previous prime is 28970989. The next prime is 28971049. The reversal of 28971000 is 17982.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 782982 + ... + 783018.

Almost surely, 228971000 is an apocalyptic number.

28971000 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 28971000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53352000).

28971000 is an abundant number, since it is smaller than the sum of its proper divisors (77733000).

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

28971000 is a wasteful number, since it uses less digits than its factorization.

28971000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 28971000 is about 5382.4715512486. The cubic root of 28971000 is about 307.1292378519.

Adding to 28971000 its reverse (17982), we get a palindrome (28988982).

It can be divided in two parts, 289 and 71000, that added together give a square (71289 = 2672).

The spelling of 28971000 in words is "twenty-eight million, nine hundred seventy-one thousand".