1038282880 has 64 divisors (see below), whose sum is σ = 2486090880. Its totient is φ = 414653440.

The previous prime is 1038282841. The next prime is 1038282881. The reversal of 1038282880 is 882828301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1038282881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697497 + ... + 698983.

It is an arithmetic number, because the mean of its divisors is an integer number (38845170).

Almost surely, 2^1038282880 is an apocalyptic number.

1038282880 is a gapful number since it is divisible by the number (10) 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 1038282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1243045440).

1038282880 is an abundant number, since it is smaller than the sum of its proper divisors (1447808000).

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

1038282880 is a wasteful number, since it uses less digits than its factorization.

1038282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2597 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The square root of 1038282880 is about 32222.3971796016. The cubic root of 1038282880 is about 1012.6014952871.

The spelling of 1038282880 in words is "one billion, thirty-eight million, two hundred eighty-two thousand, eight hundred eighty".