1928098873600 has 243 divisors, whose sum is σ = 5074555696581. Its totient is φ = 725161574400.

The previous prime is 1928098873559. The next prime is 1928098873621. The reversal of 1928098873600 is 63788908291.

The square root of 1928098873600 is 1388560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 525636600064 + 1402462273536 = 725008^2 + 1184256^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1888441090 + ... + 1888442110.

Almost surely, 2^{1928098873600} is an apocalyptic number.

1928098873600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1928098873600 is the 1388560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1928098873600

1928098873600 is an abundant number, since it is smaller than the sum of its proper divisors (3146456822981).

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

1928098873600 is an frugal number, since it uses more digits than its factorization.

1928098873600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 61.

The spelling of 1928098873600 in words is "one trillion, nine hundred twenty-eight billion, ninety-eight million, eight hundred seventy-three thousand, six hundred".