7285248000 has 832 divisors, whose sum is σ = 29440419840. Its totient is φ = 1769472000.

The previous prime is 7285247947. The next prime is 7285248011. The reversal of 7285248000 is 8425827.

7285248000 = 161³ + 162³ + ... + 415³.

It is a happy number.

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 63 ways as a sum of consecutive naturals, for example, 235007985 + ... + 235008015.

It is an arithmetic number, because the mean of its divisors is an integer number (35385120).

Almost surely, 2^7285248000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7285248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14720209920).

7285248000 is an abundant number, since it is smaller than the sum of its proper divisors (22155171840).

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

7285248000 is a wasteful number, since it uses less digits than its factorization.

7285248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 36.

The square root of 7285248000 is about 85353.6642447177. The cubic root of 7285248000 is about 1938.5698177785.

The spelling of 7285248000 in words is "seven billion, two hundred eighty-five million, two hundred forty-eight thousand".