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28977992822016 = 2833723611572719
BaseRepresentation
bin1101001011010111101101…
…11101111110110100000000
310210121021021010212212012000
412211223312331332310000
512244233412130301031
6141344150042304000
76050406450614340
oct645536675766400
9123537233785160
1028977992822016
119262552547667
1233001671b8000
1313227c79aa504
14722784254d20
15353bb64b73e6
hex1a5af6f7ed00

28977992822016 has 1152 divisors, whose sum is σ = 104568240537600. Its totient is φ = 7737162301440.

The previous prime is 28977992822011. The next prime is 28977992822017. The reversal of 28977992822016 is 61022829977982.

28977992822016 is a `hidden beast` number, since 289 + 7 + 7 + 99 + 28 + 220 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28977992822011) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10657590705 + ... + 10657593423.

Almost surely, 228977992822016 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 28977992822016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52284120268800).

28977992822016 is an abundant number, since it is smaller than the sum of its proper divisors (75590247715584).

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

28977992822016 is a wasteful number, since it uses less digits than its factorization.

28977992822016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2992 (or 2972 counting only the distinct ones).

The product of its (nonzero) digits is 219469824, while the sum is 72.

The spelling of 28977992822016 in words is "twenty-eight trillion, nine hundred seventy-seven billion, nine hundred ninety-two million, eight hundred twenty-two thousand, sixteen".