1020028048200 has 384 divisors, whose sum is σ = 4023599616000. Its totient is φ = 232670188800.

The previous prime is 1020028048189. The next prime is 1020028048211. The reversal of 1020028048200 is 28408200201.

1020028048200 is a `hidden beast` number, since 102 + 0 + 0 + 2 + 80 + 482 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1020028048189) and next prime (1020028048211).

It is a super-2 number, since 2×1020028048200² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18532321 + ... + 18587279.

It is an arithmetic number, because the mean of its divisors is an integer number (10478124000).

Almost surely, 2^{1020028048200} is an apocalyptic number.

1020028048200 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 1020028048200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011799808000).

1020028048200 is an abundant number, since it is smaller than the sum of its proper divisors (3003571567800).

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

1020028048200 is a wasteful number, since it uses less digits than its factorization.

1020028048200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55482 (or 55467 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The spelling of 1020028048200 in words is "one trillion, twenty billion, twenty-eight million, forty-eight thousand, two hundred".