2828400510 has 64 divisors (see below), whose sum is σ = 7354271232. Its totient is φ = 692036736.

The previous prime is 2828400473. The next prime is 2828400529. The reversal of 2828400510 is 150048282.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43417 + ... + 86843.

It is an arithmetic number, because the mean of its divisors is an integer number (114910488).

Almost surely, 2^2828400510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2828400510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3677135616).

2828400510 is an abundant number, since it is smaller than the sum of its proper divisors (4525870722).

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

2828400510 is a wasteful number, since it uses less digits than its factorization.

2828400510 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43617.

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 2828400510 is about 53182.7087501191. The cubic root of 2828400510 is about 1414.2091265682.

Adding to 2828400510 its reverse (150048282), we get a palindrome (2978448792).

The spelling of 2828400510 in words is "two billion, eight hundred twenty-eight million, four hundred thousand, five hundred ten".