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28839391993120 = 25519314761106739
BaseRepresentation
bin1101000111010101100011…
…01101110001110100100000
310210010000111210222020100211
412203222301231301310200
512240001033322234440
6141200344521423504
76034402006166152
oct643526155616440
9123100453866324
1028839391993120
119209798a36485
12329932603ab94
131312709c66917
14719b967a0ad2
153502a3524eea
hex1a3ab1b71d20

28839391993120 has 384 divisors, whose sum is σ = 76847881420800. Its totient is φ = 10181268172800.

The previous prime is 28839391993099. The next prime is 28839391993121. The reversal of 28839391993120 is 2139919393882.

It is a super-2 number, since 2×288393919931202 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (28839391993121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 270132711 + ... + 270239449.

It is an arithmetic number, because the mean of its divisors is an integer number (200124691200).

Almost surely, 228839391993120 is an apocalyptic number.

28839391993120 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 28839391993120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38423940710400).

28839391993120 is an abundant number, since it is smaller than the sum of its proper divisors (48008489427680).

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

28839391993120 is a wasteful number, since it uses less digits than its factorization.

28839391993120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106912 (or 106904 counting only the distinct ones).

The product of its (nonzero) digits is 45349632, while the sum is 67.

The spelling of 28839391993120 in words is "twenty-eight trillion, eight hundred thirty-nine billion, three hundred ninety-one million, nine hundred ninety-three thousand, one hundred twenty".