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28520419680 = 2533519477393
BaseRepresentation
bin11010100011111100…
…110001000101100000
32201121122012102202000
4122203330301011200
5431402211412210
621034015324000
72026522365414
oct324374610540
981548172660
1028520419680
1111106040485
12563b520600
1328c69a229c
141547b3cd44
15b1dcb4ac0
hex6a3f31160

28520419680 has 384 divisors, whose sum is σ = 107325388800. Its totient is φ = 7050903552.

The previous prime is 28520419673. The next prime is 28520419687. The reversal of 28520419680 is 8691402582.

28520419680 is a `hidden beast` number, since 2 + 8 + 520 + 41 + 9 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (28520419673) and next prime (28520419687).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28520419687) 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, 3854064 + ... + 3861456.

It is an arithmetic number, because the mean of its divisors is an integer number (279493200).

Almost surely, 228520419680 is an apocalyptic number.

28520419680 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 28520419680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53662694400).

28520419680 is an abundant number, since it is smaller than the sum of its proper divisors (78804969120).

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

28520419680 is a wasteful number, since it uses less digits than its factorization.

28520419680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7483 (or 7469 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 28520419680 in words is "twenty-eight billion, five hundred twenty million, four hundred nineteen thousand, six hundred eighty".