1928077488 has 240 divisors, whose sum is σ = 5905336320. Its totient is φ = 585446400.

The previous prime is 1928077483. The next prime is 1928077493. The reversal of 1928077488 is 8847708291.

It is a happy number.

1928077488 is a `hidden beast` number, since 1 + 92 + 8 + 0 + 77 + 488 = 666.

It is an interprime number because it is at equal distance from previous prime (1928077483) and next prime (1928077493).

It is not an unprimeable number, because it can be changed into a prime (1928077483) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 9137703 + ... + 9137913.

It is an arithmetic number, because the mean of its divisors is an integer number (24605568).

Almost surely, 2^1928077488 is an apocalyptic number.

1928077488 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 1928077488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952668160).

1928077488 is an abundant number, since it is smaller than the sum of its proper divisors (3977258832).

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

1928077488 is a wasteful number, since it uses less digits than its factorization.

1928077488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The square root of 1928077488 is about 43909.8791617558. The cubic root of 1928077488 is about 1244.6335244964.

The spelling of 1928077488 in words is "one billion, nine hundred twenty-eight million, seventy-seven thousand, four hundred eighty-eight".