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38428544880 = 2435511217312
BaseRepresentation
bin100011110010100001…
…010000111101110000
310200012011002100100000
4203302201100331300
51112200201414010
625353121030000
72530203145665
oct436241207560
9120164070300
1038428544880
111532aa03600
127545785300
13381563236b
141c079c7a6c
15eeda757c0
hex8f2850f70

38428544880 has 1080 divisors, whose sum is σ = 160948792368. Its totient is φ = 8485171200.

The previous prime is 38428544771. The next prime is 38428544899. The reversal of 38428544880 is 8844582483.

38428544880 is a `hidden beast` number, since 3 + 8 + 42 + 85 + 448 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1239630465 + ... + 1239630495.

Almost surely, 238428544880 is an apocalyptic number.

38428544880 is a gapful number since it is divisible by the number (30) 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 38428544880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80474396184).

38428544880 is an abundant number, since it is smaller than the sum of its proper divisors (122520247488).

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

38428544880 is a wasteful number, since it uses less digits than its factorization.

38428544880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 7864320, while the sum is 54.

The spelling of 38428544880 in words is "thirty-eight billion, four hundred twenty-eight million, five hundred forty-four thousand, eight hundred eighty".