1928716020 has 288 divisors, whose sum is σ = 7493181696. Its totient is φ = 389836800.

The previous prime is 1928716007. The next prime is 1928716061. The reversal of 1928716020 is 206178291.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 510940 + ... + 514700.

It is an arithmetic number, because the mean of its divisors is an integer number (26017992).

Almost surely, 2^1928716020 is an apocalyptic number.

1928716020 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 1928716020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3746590848).

1928716020 is an abundant number, since it is smaller than the sum of its proper divisors (5564465676).

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

1928716020 is a wasteful number, since it uses less digits than its factorization.

1928716020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3831 (or 3826 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1928716020 is about 43917.1494976621. The cubic root of 1928716020 is about 1244.7709067026.

It can be divided in two parts, 192871 and 6020, that added together give a palindrome (198891).

The spelling of 1928716020 in words is "one billion, nine hundred twenty-eight million, seven hundred sixteen thousand, twenty".