1628793792 has 112 divisors (see below), whose sum is σ = 4804277920. Its totient is φ = 541126656.

The previous prime is 1628793767. The next prime is 1628793857. The reversal of 1628793792 is 2973978261.

1628793792 is a `hidden beast` number, since 1 + 628 + 7 + 9 + 3 + 7 + 9 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 580938 + ... + 583734.

Almost surely, 2^1628793792 is an apocalyptic number.

1628793792 is a gapful number since it is divisible by the number (12) 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 1628793792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2402138960).

1628793792 is an abundant number, since it is smaller than the sum of its proper divisors (3175484128).

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

1628793792 is a wasteful number, since it uses less digits than its factorization.

1628793792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3139 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 1628793792 is about 40358.3175070518. The cubic root of 1628793792 is about 1176.5815532636.

The spelling of 1628793792 in words is "one billion, six hundred twenty-eight million, seven hundred ninety-three thousand, seven hundred ninety-two".