1020738528 has 72 divisors (see below), whose sum is σ = 3028950288. Its totient is φ = 325450752.

The previous prime is 1020738493. The next prime is 1020738541. The reversal of 1020738528 is 8258370201.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 1020738492 and 1020738501.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 70425 + ... + 83672.

It is an arithmetic number, because the mean of its divisors is an integer number (42068754).

Almost surely, 2^1020738528 is an apocalyptic number.

1020738528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1020738528 is an abundant number, since it is smaller than the sum of its proper divisors (2008211760).

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

1020738528 is a wasteful number, since it uses less digits than its factorization.

1020738528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154136 (or 154125 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1020738528 is about 31948.9988575542. The cubic root of 1020738528 is about 1006.8655983526.

The spelling of 1020738528 in words is "one billion, twenty million, seven hundred thirty-eight thousand, five hundred twenty-eight".