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4428103680 = 21533571113
BaseRepresentation
bin1000001111110111…
…11000000000000000
3102102121020222022000
410013323320000000
533032043304210
62011221344000
7214506155160
oct40773700000
912377228260
104428103680
111972604920
12a36b68000
13557522ac0
143001525a0
151adb3aac0
hex107ef8000

4428103680 has 1024 divisors, whose sum is σ = 21138969600. Its totient is φ = 849346560.

The previous prime is 4428103627. The next prime is 4428103703. The reversal of 4428103680 is 863018244.

It is a tau number, because it is divible by the number of its divisors (1024).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 340623354 + ... + 340623366.

It is an arithmetic number, because the mean of its divisors is an integer number (20643525).

Almost surely, 24428103680 is an apocalyptic number.

4428103680 is a gapful number since it is divisible by the number (40) 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 4428103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10569484800).

4428103680 is an abundant number, since it is smaller than the sum of its proper divisors (16710865920).

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

4428103680 is a wasteful number, since it uses less digits than its factorization.

4428103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4428103680 is about 66543.9980764607. The cubic root of 4428103680 is about 1642.1239188164.

The spelling of 4428103680 in words is "four billion, four hundred twenty-eight million, one hundred three thousand, six hundred eighty".