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28977990125472 = 2534435919722369
BaseRepresentation
bin1101001011010111101101…
…10011101100011110100000
310210121021020221210212020000
412211223312303230132200
512244233410433003342
6141344145504420000
76050406415653603
oct645536663543640
9123537227725200
1028977990125472
119262550a75713
123300166317600
1313227c727501b
14722783b5233a
15353bb613344c
hex1a5af6cec7a0

28977990125472 has 480 divisors, whose sum is σ = 89137617307200. Its totient is φ = 9227291738112.

The previous prime is 28977990125449. The next prime is 28977990125479. The reversal of 28977990125472 is 27452109977982.

28977990125472 is a `hidden beast` number, since 2 + 8 + 9 + 7 + 79 + 9 + 0 + 1 + 2 + 547 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 28977990125472.

It is not an unprimeable number, because it can be changed into a prime (28977990125479) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1295441904 + ... + 1295464272.

It is an arithmetic number, because the mean of its divisors is an integer number (185703369390).

Almost surely, 228977990125472 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 28977990125472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44568808653600).

28977990125472 is an abundant number, since it is smaller than the sum of its proper divisors (60159627181728).

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

28977990125472 is a wasteful number, since it uses less digits than its factorization.

28977990125472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22690 (or 22673 counting only the distinct ones).

The product of its (nonzero) digits is 320060160, while the sum is 72.

The spelling of 28977990125472 in words is "twenty-eight trillion, nine hundred seventy-seven billion, nine hundred ninety million, one hundred twenty-five thousand, four hundred seventy-two".