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28756992600 = 23345272172131
BaseRepresentation
bin11010110010000011…
…001110001001011000
32202020010100120210000
4122302003032021120
5432343242230400
621113310053000
72035424255400
oct326203161130
982203316700
1028756992600
1111217633196
1256a67aa160
1329339c326b
14156b321800
15b34945600
hex6b20ce258

28756992600 has 720 divisors, whose sum is σ = 123075861480. Its totient is φ = 6183475200.

The previous prime is 28756992581. The next prime is 28756992619. The reversal of 28756992600 is 629965782.

28756992600 is a `hidden beast` number, since 28 + 7 + 5 + 6 + 9 + 9 + 2 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (28756992581) and next prime (28756992619).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 13493535 + ... + 13495665.

Almost surely, 228756992600 is an apocalyptic number.

28756992600 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 28756992600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61537930740).

28756992600 is an abundant number, since it is smaller than the sum of its proper divisors (94318868880).

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

28756992600 is a wasteful number, since it uses less digits than its factorization.

28756992600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2165 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 28756992600 in words is "twenty-eight billion, seven hundred fifty-six million, nine hundred ninety-two thousand, six hundred".