1004062501728 has 384 divisors, whose sum is σ = 3442983667200. Its totient is φ = 280653465600.

The previous prime is 1004062501711. The next prime is 1004062501807. The reversal of 1004062501728 is 8271052604001.

1004062501728 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 625 + 0 + 1 + 7 + 28 = 666.

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 = 1004062501692 and 1004062501701.

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, 274407163 + ... + 274410821.

It is an arithmetic number, because the mean of its divisors is an integer number (8966103300).

Almost surely, 2^{1004062501728} is an apocalyptic number.

1004062501728 is a gapful number since it is divisible by the number (18) 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 1004062501728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1721491833600).

1004062501728 is an abundant number, since it is smaller than the sum of its proper divisors (2438921165472).

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

1004062501728 is a wasteful number, since it uses less digits than its factorization.

1004062501728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5923 (or 5909 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 1004062501728 in words is "one trillion, four billion, sixty-two million, five hundred one thousand, seven hundred twenty-eight".