1028924037120 has 768 divisors, whose sum is σ = 4091492321280. Its totient is φ = 215337664512.

The previous prime is 1028924037107. The next prime is 1028924037133. The reversal of 1028924037120 is 217304298201.

It is an interprime number because it is at equal distance from previous prime (1028924037107) and next prime (1028924037133).

It is a tau number, because it is divible by the number of its divisors (768).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 135256357 + ... + 135263963.

It is an arithmetic number, because the mean of its divisors is an integer number (5327463960).

Almost surely, 2^{1028924037120} is an apocalyptic number.

1028924037120 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 1028924037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2045746160640).

1028924037120 is an abundant number, since it is smaller than the sum of its proper divisors (3062568284160).

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

1028924037120 is a wasteful number, since it uses less digits than its factorization.

1028924037120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7698 (or 7678 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The spelling of 1028924037120 in words is "one trillion, twenty-eight billion, nine hundred twenty-four million, thirty-seven thousand, one hundred twenty".