1028529900 has 180 divisors, whose sum is σ = 3412779832. Its totient is φ = 267805440.

The previous prime is 1028529809. The next prime is 1028529973. The reversal of 1028529900 is 99258201.

It is a tau number, because it is divible by the number of its divisors (180).

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 an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 346824 + ... + 349776.

Almost surely, 2^1028529900 is an apocalyptic number.

1028529900 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 1028529900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706389916).

1028529900 is an abundant number, since it is smaller than the sum of its proper divisors (2384249932).

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

1028529900 is a wasteful number, since it uses less digits than its factorization.

1028529900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3022 (or 3006 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1028529900 is about 32070.7015825972. The cubic root of 1028529900 is about 1009.4209339549.

The spelling of 1028529900 in words is "one billion, twenty-eight million, five hundred twenty-nine thousand, nine hundred".