1054137728 has 64 divisors (see below), whose sum is σ = 2404645920. Its totient is φ = 450908160.

The previous prime is 1054137709. The next prime is 1054137779. The reversal of 1054137728 is 8277314501.

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

It is a super-2 number, since 2×1054137728² = 2222412699186003968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054137691 and 1054137700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 734900 + ... + 736332.

Almost surely, 2^1054137728 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 1054137728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1202322960).

1054137728 is an abundant number, since it is smaller than the sum of its proper divisors (1350508192).

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

1054137728 is an equidigital number, since it uses as much as digits as its factorization.

1054137728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2275 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 1054137728 is about 32467.4872449347. The cubic root of 1054137728 is about 1017.7297090173.

The spelling of 1054137728 in words is "one billion, fifty-four million, one hundred thirty-seven thousand, seven hundred twenty-eight".