1028037120 has 320 divisors, whose sum is σ = 3681621504. Its totient is φ = 242565120.

The previous prime is 1028037089. The next prime is 1028037139. The reversal of 1028037120 is 217308201.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3632499 + ... + 3632781.

Almost surely, 2^1028037120 is an apocalyptic number.

1028037120 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 1028037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1840810752).

1028037120 is an abundant number, since it is smaller than the sum of its proper divisors (2653584384).

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

1028037120 is a wasteful number, since it uses less digits than its factorization.

1028037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 1028037120 is about 32063.0179490328. The cubic root of 1028037120 is about 1009.2596999745.

The spelling of 1028037120 in words is "one billion, twenty-eight million, thirty-seven thousand, one hundred twenty".