1928088100 has 27 divisors (see below), whose sum is σ = 4184904241. Its totient is φ = 771059600.

The previous prime is 1928088089. The next prime is 1928088103. The reversal of 1928088100 is 18808291.

The square root of 1928088100 is 43910.

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

It can be written as a sum of positive squares in only one way, i.e., 694111716 + 1233976384 = 26346^2 + 35128^2 .

It is a super-2 number, since 2×1928088100² = 7435047442723220000, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1928088100.

It is not an unprimeable number, because it can be changed into a prime (1928088103) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 436905 + ... + 441295.

Almost surely, 2^1928088100 is an apocalyptic number.

1928088100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1928088100 is the 43910-th square number.

It is an amenable number.

1928088100 is an abundant number, since it is smaller than the sum of its proper divisors (2256816141).

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

1928088100 is an frugal number, since it uses more digits than its factorization.

1928088100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8796 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The cubic root of 1928088100 is about 1244.6358079501.

Multiplying 1928088100 by its product of nonzero digits (9216), we get a square (17769259929600 = 4215360²).

The spelling of 1928088100 in words is "one billion, nine hundred twenty-eight million, eighty-eight thousand, one hundred".