1054117728 has 36 divisors (see below), whose sum is σ = 2997648108. Its totient is φ = 351372480.

The previous prime is 1054117711. The next prime is 1054117747. The reversal of 1054117728 is 8277114501.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1054117728² = 2222328368967763968, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 1054117692 and 1054117701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1829778 + ... + 1830353.

It is an arithmetic number, because the mean of its divisors is an integer number (83268003).

Almost surely, 2^1054117728 is an apocalyptic number.

1054117728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1054117728 is an abundant number, since it is smaller than the sum of its proper divisors (1943530380).

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

1054117728 is a wasteful number, since it uses less digits than its factorization.

1054117728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3660147 (or 3660136 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 36.

The square root of 1054117728 is about 32467.1792430448. The cubic root of 1054117728 is about 1017.7232725646.

The spelling of 1054117728 in words is "one billion, fifty-four million, one hundred seventeen thousand, seven hundred twenty-eight".