1021428791928 has 192 divisors, whose sum is σ = 2941533934560. Its totient is φ = 319090434048.

The previous prime is 1021428791909. The next prime is 1021428791947. The reversal of 1021428791928 is 8291978241201.

1021428791928 is a `hidden beast` number, since 1 + 0 + 21 + 428 + 7 + 9 + 192 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1021428791909) and next prime (1021428791947).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 474420100 + ... + 474422252.

Almost surely, 2^{1021428791928} is an apocalyptic number.

1021428791928 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 1021428791928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470766967280).

1021428791928 is an abundant number, since it is smaller than the sum of its proper divisors (1920105142632).

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

1021428791928 is a wasteful number, since it uses less digits than its factorization.

1021428791928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3646 (or 3639 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 1021428791928 in words is "one trillion, twenty-one billion, four hundred twenty-eight million, seven hundred ninety-one thousand, nine hundred twenty-eight".