2828597940 has 288 divisors, whose sum is σ = 10221120000. Its totient is φ = 619508736.

The previous prime is 2828597929. The next prime is 2828597957. The reversal of 2828597940 is 497958282.

2828597940 is a `hidden beast` number, since 2 + 8 + 2 + 8 + 597 + 9 + 40 = 666.

2828597940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 7271266 + ... + 7271654.

It is an arithmetic number, because the mean of its divisors is an integer number (35490000).

Almost surely, 2^2828597940 is an apocalyptic number.

2828597940 is a gapful number since it is divisible by the number (20) 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 2828597940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5110560000).

2828597940 is an abundant number, since it is smaller than the sum of its proper divisors (7392522060).

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

2828597940 is a wasteful number, since it uses less digits than its factorization.

2828597940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 2828597940 is about 53184.5648661339. The cubic root of 2828597940 is about 1414.2420310090.

The spelling of 2828597940 in words is "two billion, eight hundred twenty-eight million, five hundred ninety-seven thousand, nine hundred forty".