1928070144 has 792 divisors, whose sum is σ = 7927949120. Its totient is φ = 437944320.

The previous prime is 1928070139. The next prime is 1928070169. The reversal of 1928070144 is 4410708291.

It is a tau number, because it is divible by the number of its divisors (792).

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

It is a junction number, because it is equal to n+sod(n) for n = 1928070099 and 1928070108.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101477367 + ... + 101477385.

Almost surely, 2^1928070144 is an apocalyptic number.

1928070144 is a gapful number since it is divisible by the number (14) 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 1928070144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3963974560).

1928070144 is an abundant number, since it is smaller than the sum of its proper divisors (5999878976).

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

1928070144 is a wasteful number, since it uses less digits than its factorization.

1928070144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 1928070144 is about 43909.7955358483. The cubic root of 1928070144 is about 1244.6319442349.

The spelling of 1928070144 in words is "one billion, nine hundred twenty-eight million, seventy thousand, one hundred forty-four".