2428792500 has 120 divisors (see below), whose sum is σ = 7149086560. Its totient is φ = 641520000.

The previous prime is 2428792451. The next prime is 2428792501. The reversal of 2428792500 is 52978242.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428792501) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 816015 + ... + 818985.

Almost surely, 2^2428792500 is an apocalyptic number.

2428792500 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 2428792500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3574543280).

2428792500 is an abundant number, since it is smaller than the sum of its proper divisors (4720294060).

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

2428792500 is a wasteful number, since it uses less digits than its factorization.

2428792500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2428792500 is about 49282.7809686101. The cubic root of 2428792500 is about 1344.1986999838.

The spelling of 2428792500 in words is "two billion, four hundred twenty-eight million, seven hundred ninety-two thousand, five hundred".